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Schur's Lemma

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to be updated

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Weyl's Theorem

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Claim

+

Let $L$ be a semisimple Lie algebra, $V$ a finite dimensional linear space, $\phi: L \to \mathfrak{gl}(V)$ a representation. Then, $\phi$ is completely reducible.

+

Proof

+

to be updated

+

Reference

+

Introduction to Lie Algebras and Representation Theory

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(https://github.com/jensimmons/cssremedy/issues/14#issuecomment-634934210) + This can trigger a poorly considered lint error in some tools but is included by design. +*/ + +img, +svg, +video, +canvas, +audio, +iframe, +embed, +object { + display: block; + /* 1 */ + vertical-align: middle; + /* 2 */ +} + +/* +Constrain images and videos to the parent width and preserve their intrinsic aspect ratio. (https://github.com/mozdevs/cssremedy/issues/14) +*/ + +img, +video { + max-width: 100%; + height: auto; +} + +/* Make elements with the HTML hidden attribute stay hidden by default */ + +[hidden] { + display: none; +} + +html, + body { + height: 100%; +} + +html { + --bg: transparent; + --bg-dark: transparent; + --header: transparent; + --header-dark: transparent; +} + +body { + -webkit-tap-highlight-color: transparent; + background: var(--bg); +} + +.dark body { + background: var(--bg-dark); +} + +*, + ::before, + ::after { + /* Auto direction for text */ + unicode-bidi: plaintext; +} + +/* Code block */ + +pre mark { + display: block; + color: inherit; +} + +pre table { + margin: 0px !important; + width: 100% !important; + border-collapse: collapse; +} + +pre table tr { + border-width: 0px !important; + border-style: none !important; +} + +pre table td { + padding: 0px !important; +} + +pre table td:nth-of-type(1) { + min-width: 1rem; + -webkit-user-select: none; + -moz-user-select: none; + user-select: none; +} + +.prose .footnote-definition { + display: flex; +} + +.prose .footnote-definition p { + margin: 0px; +} + +.prose .footnote-definition .footnote-definition-label { + position: static; + margin-right: 0.5rem; + font-size: 1rem; + line-height: 1.5rem; +} + +.prose .footnote-definition .footnote-definition-label::after { + content: "."; +} + +.prose { + color: var(--tw-prose-body); + max-width: 65ch; +} + +.prose :where(p):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 1.25em; + margin-bottom: 1.25em; +} + +.prose :where([class~="lead"]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-lead); + font-size: 1.25em; + line-height: 1.6; + margin-top: 1.2em; + margin-bottom: 1.2em; +} + +.prose :where(a):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-links); + text-decoration: underline; + font-weight: 500; +} + +.prose :where(strong):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-bold); + font-weight: 600; +} + +.prose :where(a strong):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; +} + +.prose :where(blockquote strong):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; +} + +.prose :where(thead th strong):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; +} + +.prose :where(ol):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: decimal; + margin-top: 1.25em; + margin-bottom: 1.25em; + padding-inline-start: 1.625em; +} + +.prose :where(ol[type="A"]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: upper-alpha; +} + +.prose :where(ol[type="a"]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: lower-alpha; +} + +.prose :where(ol[type="A" s]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: upper-alpha; +} + +.prose :where(ol[type="a" s]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: lower-alpha; +} + +.prose :where(ol[type="I"]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: upper-roman; +} + +.prose :where(ol[type="i"]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: lower-roman; +} + +.prose :where(ol[type="I" s]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: upper-roman; +} + +.prose :where(ol[type="i" s]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: lower-roman; +} + +.prose :where(ol[type="1"]):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: decimal; +} + +.prose :where(ul):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + list-style-type: disc; + margin-top: 1.25em; + margin-bottom: 1.25em; + padding-inline-start: 1.625em; +} + +.prose :where(ol > li):not(:where([class~="not-prose"],[class~="not-prose"] *))::marker { + font-weight: 400; + color: var(--tw-prose-counters); +} + +.prose :where(ul > li):not(:where([class~="not-prose"],[class~="not-prose"] *))::marker { + color: var(--tw-prose-bullets); +} + +.prose :where(dt):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-headings); + font-weight: 600; + margin-top: 1.25em; +} + +.prose :where(hr):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + border-color: var(--tw-prose-hr); + border-top-width: 1px; + margin-top: 3em; + margin-bottom: 3em; +} + +.prose :where(blockquote):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + font-weight: 500; + font-style: italic; + color: var(--tw-prose-quotes); + border-inline-start-width: 0.25rem; + border-inline-start-color: var(--tw-prose-quote-borders); + quotes: "\201C""\201D""\2018""\2019"; + margin-top: 1.6em; + margin-bottom: 1.6em; + padding-inline-start: 1em; +} + +.prose :where(blockquote p:first-of-type):not(:where([class~="not-prose"],[class~="not-prose"] *))::before { + content: open-quote; +} + +.prose :where(blockquote p:last-of-type):not(:where([class~="not-prose"],[class~="not-prose"] *))::after { + content: close-quote; +} + +.prose :where(h1):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-headings); + font-weight: 800; + font-size: 2.25em; + margin-top: 0; + margin-bottom: 0.8888889em; + line-height: 1.1111111; +} + +.prose :where(h1 strong):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + font-weight: 900; + color: inherit; +} + +.prose :where(h2):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-headings); + font-weight: 700; + font-size: 1.5em; + margin-top: 2em; + margin-bottom: 1em; + line-height: 1.3333333; +} + +.prose :where(h2 strong):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + font-weight: 800; + color: inherit; +} + +.prose :where(h3):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-headings); + font-weight: 600; + font-size: 1.25em; + margin-top: 1.6em; + margin-bottom: 0.6em; + line-height: 1.6; +} + +.prose :where(h3 strong):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + font-weight: 700; + color: inherit; +} + +.prose :where(h4):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-headings); + font-weight: 600; + margin-top: 1.5em; + margin-bottom: 0.5em; + line-height: 1.5; +} + +.prose :where(h4 strong):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + font-weight: 700; + color: inherit; +} + +.prose :where(img):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 2em; + margin-bottom: 2em; +} + +.prose :where(picture):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + display: block; + margin-top: 2em; + margin-bottom: 2em; +} + +.prose :where(video):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 2em; + margin-bottom: 2em; +} + +.prose :where(kbd):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + font-weight: 500; + font-family: inherit; + color: var(--tw-prose-kbd); + box-shadow: 0 0 0 1px rgb(var(--tw-prose-kbd-shadows) / 10%), 0 3px 0 rgb(var(--tw-prose-kbd-shadows) / 10%); + font-size: 0.875em; + border-radius: 0.3125rem; + padding-top: 0.1875em; + padding-inline-end: 0.375em; + padding-bottom: 0.1875em; + padding-inline-start: 0.375em; +} + +.prose :where(code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-code); + font-weight: 600; + font-size: 0.875em; +} + +.prose :where(code):not(:where([class~="not-prose"],[class~="not-prose"] *))::before { + content: "`"; +} + +.prose :where(code):not(:where([class~="not-prose"],[class~="not-prose"] *))::after { + content: "`"; +} + +.prose :where(a code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; +} + +.prose :where(h1 code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; +} + +.prose :where(h2 code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; + font-size: 0.875em; +} + +.prose :where(h3 code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; + font-size: 0.9em; +} + +.prose :where(h4 code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; +} + +.prose :where(blockquote code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; +} + +.prose :where(thead th code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: inherit; +} + +.prose :where(pre):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-pre-code); + background-color: var(--tw-prose-pre-bg); + overflow-x: auto; + font-weight: 400; + font-size: 0.875em; + line-height: 1.7142857; + margin-top: 1.7142857em; + margin-bottom: 1.7142857em; + border-radius: 0.375rem; + padding-top: 0.8571429em; + padding-inline-end: 1.1428571em; + padding-bottom: 0.8571429em; + padding-inline-start: 1.1428571em; +} + +.prose :where(pre code):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + background-color: transparent; + border-width: 0; + border-radius: 0; + padding: 0; + font-weight: inherit; + color: inherit; + font-size: inherit; + font-family: inherit; + line-height: inherit; +} + +.prose :where(pre code):not(:where([class~="not-prose"],[class~="not-prose"] *))::before { + content: none; +} + +.prose :where(pre code):not(:where([class~="not-prose"],[class~="not-prose"] *))::after { + content: none; +} + +.prose :where(table):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + width: 100%; + table-layout: auto; + margin-top: 2em; + margin-bottom: 2em; + font-size: 0.875em; + line-height: 1.7142857; +} + +.prose :where(thead):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + border-bottom-width: 1px; + border-bottom-color: var(--tw-prose-th-borders); +} + +.prose :where(thead th):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-headings); + font-weight: 600; + vertical-align: bottom; + padding-inline-end: 0.5714286em; + padding-bottom: 0.5714286em; + padding-inline-start: 0.5714286em; +} + +.prose :where(tbody tr):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + border-bottom-width: 1px; + border-bottom-color: var(--tw-prose-td-borders); +} + +.prose :where(tbody tr:last-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + border-bottom-width: 0; +} + +.prose :where(tbody td):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + vertical-align: baseline; +} + +.prose :where(tfoot):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + border-top-width: 1px; + border-top-color: var(--tw-prose-th-borders); +} + +.prose :where(tfoot td):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + vertical-align: top; +} + +.prose :where(th, td):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + text-align: start; +} + +.prose :where(figure > *):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0; + margin-bottom: 0; +} + +.prose :where(figcaption):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + color: var(--tw-prose-captions); + font-size: 0.875em; + line-height: 1.4285714; + margin-top: 0.8571429em; +} + +.prose { + --tw-prose-body: #374151; + --tw-prose-headings: #111827; + --tw-prose-lead: #4b5563; + --tw-prose-links: #111827; + --tw-prose-bold: #111827; + --tw-prose-counters: #6b7280; + --tw-prose-bullets: #d1d5db; + --tw-prose-hr: #e5e7eb; + --tw-prose-quotes: #111827; + --tw-prose-quote-borders: #e5e7eb; + --tw-prose-captions: #6b7280; + --tw-prose-kbd: #111827; + --tw-prose-kbd-shadows: 17 24 39; + --tw-prose-code: #111827; + --tw-prose-pre-code: #e5e7eb; + --tw-prose-pre-bg: #1f2937; + --tw-prose-th-borders: #d1d5db; + --tw-prose-td-borders: #e5e7eb; + --tw-prose-invert-body: #d1d5db; + --tw-prose-invert-headings: #fff; + --tw-prose-invert-lead: #9ca3af; + --tw-prose-invert-links: #fff; + --tw-prose-invert-bold: #fff; + --tw-prose-invert-counters: #9ca3af; + --tw-prose-invert-bullets: #4b5563; + --tw-prose-invert-hr: #374151; + --tw-prose-invert-quotes: #f3f4f6; + --tw-prose-invert-quote-borders: #374151; + --tw-prose-invert-captions: #9ca3af; + --tw-prose-invert-kbd: #fff; + --tw-prose-invert-kbd-shadows: 255 255 255; + --tw-prose-invert-code: #fff; + --tw-prose-invert-pre-code: #d1d5db; + --tw-prose-invert-pre-bg: rgb(0 0 0 / 50%); + --tw-prose-invert-th-borders: #4b5563; + --tw-prose-invert-td-borders: #374151; + font-size: 1rem; + line-height: 1.75; +} + +.prose :where(picture > img):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0; + margin-bottom: 0; +} + +.prose :where(li):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0.5em; + margin-bottom: 0.5em; +} + +.prose :where(ol > li):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + padding-inline-start: 0.375em; +} + +.prose :where(ul > li):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + padding-inline-start: 0.375em; +} + +.prose :where(.prose > ul > li p):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0.75em; + margin-bottom: 0.75em; +} + +.prose :where(.prose > ul > li > p:first-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 1.25em; +} + +.prose :where(.prose > ul > li > p:last-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-bottom: 1.25em; +} + +.prose :where(.prose > ol > li > p:first-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 1.25em; +} + +.prose :where(.prose > ol > li > p:last-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-bottom: 1.25em; +} + +.prose :where(ul ul, ul ol, ol ul, ol ol):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0.75em; + margin-bottom: 0.75em; +} + +.prose :where(dl):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 1.25em; + margin-bottom: 1.25em; +} + +.prose :where(dd):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0.5em; + padding-inline-start: 1.625em; +} + +.prose :where(hr + *):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0; +} + +.prose :where(h2 + *):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0; +} + +.prose :where(h3 + *):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0; +} + +.prose :where(h4 + *):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0; +} + +.prose :where(thead th:first-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + padding-inline-start: 0; +} + +.prose :where(thead th:last-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + padding-inline-end: 0; +} + +.prose :where(tbody td, tfoot td):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + padding-top: 0.5714286em; + padding-inline-end: 0.5714286em; + padding-bottom: 0.5714286em; + padding-inline-start: 0.5714286em; +} + +.prose :where(tbody td:first-child, tfoot td:first-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + padding-inline-start: 0; +} + +.prose :where(tbody td:last-child, tfoot td:last-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + padding-inline-end: 0; +} + +.prose :where(figure):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 2em; + margin-bottom: 2em; +} + +.prose :where(.prose > :first-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-top: 0; +} + +.prose :where(.prose > :last-child):not(:where([class~="not-prose"],[class~="not-prose"] *)) { + margin-bottom: 0; +} + +.prose-neutral { + --tw-prose-body: #404040; + --tw-prose-headings: #171717; + --tw-prose-lead: #525252; + --tw-prose-links: #171717; + --tw-prose-bold: #171717; + --tw-prose-counters: #737373; + --tw-prose-bullets: #d4d4d4; + --tw-prose-hr: #e5e5e5; + --tw-prose-quotes: #171717; + --tw-prose-quote-borders: #e5e5e5; + --tw-prose-captions: #737373; + --tw-prose-kbd: #171717; + --tw-prose-kbd-shadows: 23 23 23; + --tw-prose-code: #171717; + --tw-prose-pre-code: #e5e5e5; + --tw-prose-pre-bg: #262626; + --tw-prose-th-borders: #d4d4d4; + --tw-prose-td-borders: #e5e5e5; + --tw-prose-invert-body: #d4d4d4; + --tw-prose-invert-headings: #fff; + --tw-prose-invert-lead: #a3a3a3; + --tw-prose-invert-links: #fff; + --tw-prose-invert-bold: #fff; + --tw-prose-invert-counters: #a3a3a3; + --tw-prose-invert-bullets: #525252; + --tw-prose-invert-hr: #404040; + --tw-prose-invert-quotes: #f5f5f5; + --tw-prose-invert-quote-borders: #404040; + --tw-prose-invert-captions: #a3a3a3; + --tw-prose-invert-kbd: #fff; + --tw-prose-invert-kbd-shadows: 255 255 255; + --tw-prose-invert-code: #fff; + --tw-prose-invert-pre-code: #d4d4d4; + --tw-prose-invert-pre-bg: rgb(0 0 0 / 50%); + --tw-prose-invert-th-borders: #525252; + --tw-prose-invert-td-borders: #404040; +} + +.fixed { + position: fixed; +} + +.absolute { + position: absolute; +} + +.relative { + position: relative; +} + +.inset-0 { + inset: 0px; +} + +.inset-x-8 { + left: 2rem; + right: 2rem; +} + +.bottom-20 { + bottom: 5rem; +} + +.top-0 { + top: 0px; +} + +.z-40 { + z-index: 40; +} + +.z-50 { + z-index: 50; +} + +.\!my-0 { + margin-top: 0px !important; + margin-bottom: 0px !important; +} + +.mx-1 { + margin-left: 0.25rem; + margin-right: 0.25rem; +} + +.mx-2 { + margin-left: 0.5rem; + margin-right: 0.5rem; +} + +.mx-auto { + margin-left: auto; + margin-right: auto; +} + +.my-0 { + margin-top: 0px; + margin-bottom: 0px; +} + +.my-0\.5 { + margin-top: 0.125rem; + margin-bottom: 0.125rem; +} + +.my-1 { + margin-top: 0.25rem; + margin-bottom: 0.25rem; +} + +.my-2 { + margin-top: 0.5rem; + margin-bottom: 0.5rem; +} + +.my-4 { + margin-top: 1rem; + margin-bottom: 1rem; +} + +.mb-1\.5 { + margin-bottom: 0.375rem; +} + +.mb-12 { + margin-bottom: 3rem; +} + +.mb-16 { + margin-bottom: 4rem; +} + +.mb-2 { + margin-bottom: 0.5rem; +} + +.mb-4 { + margin-bottom: 1rem; +} + +.ml-1\.5 { + margin-left: 0.375rem; +} + +.ml-4 { + margin-left: 1rem; +} + +.ml-auto { + margin-left: auto; +} + +.mr-1\.5 { + margin-right: 0.375rem; +} + +.mr-5 { + margin-right: 1.25rem; +} + +.mr-6 { + margin-right: 1.5rem; +} + +.mr-auto { + margin-right: auto; +} + +.mt-0 { + margin-top: 0px; +} + +.mt-1 { + margin-top: 0.25rem; +} + +.mt-12 { + margin-top: 3rem; +} + +.mt-16 { + margin-top: 4rem; +} + +.block { + display: block; +} + +.flex { + display: flex; +} + +.grid { + display: grid; +} + +.aspect-square { + aspect-ratio: 1 / 1; +} + +.h-4 { + height: 1rem; +} + +.h-6 { + height: 1.5rem; +} + +.h-8 { + height: 2rem; +} + +.h-auto { + height: auto; +} + +.h-full { + height: 100%; +} + +.min-h-\[3\.5rem\] { + min-height: 3.5rem; +} + +.min-h-\[calc\(100\%-9rem\)\] { + min-height: calc(100% - 9rem); +} + +.w-16 { + width: 4rem; +} + +.w-4 { + width: 1rem; +} + +.w-6 { + width: 1.5rem; +} + +.w-8 { + width: 2rem; +} + +.w-full { + width: 100%; +} + +.min-w-\[50\%\] { + min-width: 50%; +} + +.max-w-3xl { + max-width: 48rem; +} + +.max-w-4xl { + max-width: 56rem; +} + +.shrink-0 { + flex-shrink: 0; +} + +.grow { + flex-grow: 1; +} + +.basis-full { + flex-basis: 100%; +} + +.cursor-pointer { + cursor: pointer; +} + +.grid-cols-1 { + grid-template-columns: repeat(1, minmax(0, 1fr)); +} + +.flex-col { + flex-direction: column; +} + +.flex-wrap { + flex-wrap: wrap; +} + +.items-start { + align-items: flex-start; +} + +.items-center { + align-items: center; +} + +.justify-start { + justify-content: flex-start; +} + +.justify-end { + justify-content: flex-end; +} + +.justify-center { + justify-content: center; +} + +.justify-between { + justify-content: space-between; +} + +.gap-2 { + gap: 0.5rem; +} + +.gap-2\.5 { + gap: 0.625rem; +} + +.gap-4 { + gap: 1rem; +} + +.gap-x-2 { + -moz-column-gap: 0.5rem; + column-gap: 0.5rem; +} + +.space-x-3 > :not([hidden]) ~ :not([hidden]) { + --tw-space-x-reverse: 0; + margin-right: calc(0.75rem * var(--tw-space-x-reverse)); + margin-left: calc(0.75rem * calc(1 - var(--tw-space-x-reverse))); +} + +.truncate { + overflow: hidden; + text-overflow: ellipsis; + white-space: nowrap; +} + +.break-words { + overflow-wrap: break-word; +} + +.rounded-full { + border-radius: 9999px; +} + +.rounded-lg { + border-radius: 0.5rem; +} + +.rounded-l-md { + border-top-left-radius: 0.375rem; + border-bottom-left-radius: 0.375rem; +} + +.rounded-r-md { + border-top-right-radius: 0.375rem; + border-bottom-right-radius: 0.375rem; +} + +.rounded-t-lg { + border-top-left-radius: 0.5rem; + border-top-right-radius: 0.5rem; +} + +.border-\[0\.5px\] { + border-width: 0.5px; +} + +.border-black\/10 { + border-color: rgb(0 0 0 / 0.1); +} + +.\!bg-black\/5 { + background-color: rgb(0 0 0 / 0.05) !important; +} + +.bg-\[var\(--admonition-bg\)\] { + background-color: var(--admonition-bg); +} + +.bg-black { + --tw-bg-opacity: 1; + background-color: rgb(0 0 0 / var(--tw-bg-opacity)); +} + +.bg-inherit { + background-color: inherit; +} + +.bg-white\/50 { + background-color: rgb(255 255 255 / 0.5); +} + +.p-1 { + padding: 0.25rem; +} + +.p-2 { + padding: 0.5rem; +} + +.p-3 { + padding: 0.75rem; +} + +.p-4 { + padding: 1rem; +} + +.p-6 { + padding: 1.5rem; +} + +.px-2 { + padding-left: 0.5rem; + padding-right: 0.5rem; +} + +.px-4 { + padding-left: 1rem; + padding-right: 1rem; +} + +.px-5 { + padding-left: 1.25rem; + padding-right: 1.25rem; +} + +.px-8 { + padding-left: 2rem; + padding-right: 2rem; +} + +.py-1 { + padding-top: 0.25rem; + padding-bottom: 0.25rem; +} + +.py-1\.5 { + padding-top: 0.375rem; + padding-bottom: 0.375rem; +} + +.py-2 { + padding-top: 0.5rem; + padding-bottom: 0.5rem; +} + +.py-3 { + padding-top: 0.75rem; + padding-bottom: 0.75rem; +} + +.py-4 { + padding-top: 1rem; + padding-bottom: 1rem; +} + +.pb-1 { + padding-bottom: 0.25rem; +} + +.pb-16 { + padding-bottom: 4rem; +} + +.pb-2 { + padding-bottom: 0.5rem; +} + +.pb-2\.5 { + padding-bottom: 0.625rem; +} + +.pl-3 { + padding-left: 0.75rem; +} + +.pl-4 { + padding-left: 1rem; +} + +.pl-6 { + padding-left: 1.5rem; +} + +.pr-2 { + padding-right: 0.5rem; +} + +.pr-3 { + padding-right: 0.75rem; +} + +.pt-32 { + padding-top: 8rem; +} + +.text-center { + text-align: center; +} + +.font-mono { + font-family: ui-monospace, SFMono-Regular, Menlo, Monaco, Consolas, "Liberation Mono", "Courier New", monospace; +} + +.text-2xl { + font-size: 1.5rem; + line-height: 2rem; +} + +.text-3xl { + font-size: 1.875rem; + line-height: 2.25rem; +} + +.text-9xl { + font-size: 8rem; + line-height: 1; +} + +.text-\[0\] { + font-size: 0; +} + +.text-lg { + font-size: 1.125rem; + line-height: 1.75rem; +} + +.text-sm { + font-size: 0.875rem; + line-height: 1.25rem; +} + +.text-xl { + font-size: 1.25rem; + line-height: 1.75rem; +} + +.font-bold { + font-weight: 700; +} + +.font-medium { + font-weight: 500; +} + +.font-semibold { + font-weight: 600; +} + +.\!leading-none { + line-height: 1 !important; +} + +.text-black { + --tw-text-opacity: 1; + color: rgb(0 0 0 / var(--tw-text-opacity)); +} + +.text-white { + --tw-text-opacity: 1; + color: rgb(255 255 255 / var(--tw-text-opacity)); +} + +.underline { + text-decoration-line: underline; +} + +.no-underline { + text-decoration-line: none; +} + +.antialiased { + -webkit-font-smoothing: antialiased; + -moz-osx-font-smoothing: grayscale; +} + +.opacity-60 { + opacity: 0.6; +} + +.shadow { + --tw-shadow: 0 1px 3px 0 rgb(0 0 0 / 0.1), 0 1px 2px -1px rgb(0 0 0 / 0.1); + --tw-shadow-colored: 0 1px 3px 0 var(--tw-shadow-color), 0 1px 2px -1px var(--tw-shadow-color); + box-shadow: var(--tw-ring-offset-shadow, 0 0 #0000), var(--tw-ring-shadow, 0 0 #0000), var(--tw-shadow); +} + +.duration-100 { + transition-duration: 100ms; +} + +.duration-200 { + transition-duration: 200ms; +} + +.ease-out { + transition-timing-function: cubic-bezier(0, 0, 0.2, 1); +} + +.not-ready * { + transition-property: none !important; +} + +.btn-menu::before, + .btn-menu::after { + display: block; + height: 2px; + width: 1.25rem; + --tw-bg-opacity: 1; + background-color: rgb(0 0 0 / var(--tw-bg-opacity)); + transition-duration: 200ms; + --tw-content: ''; + content: var(--tw-content); +} + +.btn-menu:is(.dark *)::before, + .btn-menu:is(.dark *)::after { + --tw-invert: invert(100%); + filter: var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow); +} + +.open { + overflow: hidden; +} + +.open .btn-menu::before { + width: 1.5rem; + --tw-translate-y: 5.5px; + --tw-rotate: 45deg; + transform: translate(var(--tw-translate-x), var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y)); +} + +.open .btn-menu::after { + width: 1.5rem; + --tw-translate-y: -5.5px; + --tw-rotate: -45deg; + transform: translate(var(--tw-translate-x), var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y)); +} + +.nav-wrapper { + display: none; +} + +@media (min-width: 1024px) { + .nav-wrapper { + display: flex; + } +} + +.open .nav-wrapper { + display: flex; +} + +article { + font-size: 1.125rem; + line-height: 1.75rem; +} + +.header { + background-color: var(--header); +} + +.dark .header { + background: var(--header-dark); +} + +.blur-header { + background-color: rgb(0 0 0 / 0.1); + --tw-backdrop-blur: blur(8px); + -webkit-backdrop-filter: var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia); + backdrop-filter: var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia); +} + +.blur-header:is(.dark *) { + background-color: rgb(255 255 255 / 0.1); +} + +.block-bg { + background-color: rgb(0 0 0 / 3%); +} + +.block-bg:is(.dark *) { + background-color: rgb(255 255 255 / 8%); +} + +.block-hover:hover { + background-color: rgb(0 0 0 / 5%); +} + +.block-hover:hover:is(.dark *) { + background-color: rgb(255 255 255 / 11%); +} + +.block-hover-mask:hover { + background-color: rgb(0 0 0 / 2%); +} + +.block-hover-mask:hover:is(.dark *) { + background-color: rgb(255 255 255 / 3%); +} + +.primary-link { + --tw-text-opacity: 1; + color: rgb(0 0 0 / var(--tw-text-opacity)); + text-decoration-line: none; +} + +.primary-link:hover { + opacity: 0.8; +} + +.primary-link:is(.dark *) { + --tw-text-opacity: 1; + color: rgb(255 255 255 / var(--tw-text-opacity)); +} + +.secondary-link { + color: var(--tw-prose-body); + text-decoration-line: none; +} + +.secondary-link:hover { + --tw-text-opacity: 1; + color: rgb(0 0 0 / var(--tw-text-opacity)); +} + +.secondary-link:hover:is(.dark *) { + --tw-text-opacity: 1; + color: rgb(255 255 255 / var(--tw-text-opacity)); +} + +.\[background\:url\(\.\/icons\/theme\.svg\)_left_center\/cover_no-repeat\] { + background: url(./icons/theme.svg) left center/cover no-repeat; +} + +.\[background\:var\(--url\)_center_center\/cover_no-repeat\] { + background: var(--url) center center/cover no-repeat; +} + +.\[background\:var\(--url\)_center_center_no-repeat\] { + background: var(--url) center center no-repeat; +} + +.dark\:prose-invert:is(.dark *) { + --tw-prose-body: var(--tw-prose-invert-body); + --tw-prose-headings: var(--tw-prose-invert-headings); + --tw-prose-lead: var(--tw-prose-invert-lead); + --tw-prose-links: var(--tw-prose-invert-links); + --tw-prose-bold: var(--tw-prose-invert-bold); + --tw-prose-counters: var(--tw-prose-invert-counters); + --tw-prose-bullets: var(--tw-prose-invert-bullets); + --tw-prose-hr: var(--tw-prose-invert-hr); + --tw-prose-quotes: var(--tw-prose-invert-quotes); + --tw-prose-quote-borders: var(--tw-prose-invert-quote-borders); + --tw-prose-captions: var(--tw-prose-invert-captions); + --tw-prose-kbd: var(--tw-prose-invert-kbd); + --tw-prose-kbd-shadows: var(--tw-prose-invert-kbd-shadows); + --tw-prose-code: var(--tw-prose-invert-code); + --tw-prose-pre-code: var(--tw-prose-invert-pre-code); + --tw-prose-pre-bg: var(--tw-prose-invert-pre-bg); + --tw-prose-th-borders: var(--tw-prose-invert-th-borders); + --tw-prose-td-borders: var(--tw-prose-invert-td-borders); +} + +.first-of-type\:mt-0:first-of-type { + margin-top: 0px; +} + +.last-of-type\:mb-0:last-of-type { + margin-bottom: 0px; +} + +@keyframes spin { + to { + transform: rotate(360deg); + } +} + +.hover\:animate-spin:hover { + animation: spin 1s linear infinite; +} + +.hover\:underline:hover { + text-decoration-line: underline; +} + +.active\:scale-95:active { + --tw-scale-x: .95; + --tw-scale-y: .95; + transform: translate(var(--tw-translate-x), var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y)); +} + +.prose-pre\:rounded-lg :is(:where(pre):not(:where([class~="not-prose"],[class~="not-prose"] *))) { + border-radius: 0.5rem; +} + +.prose-img\:rounded-lg :is(:where(img):not(:where([class~="not-prose"],[class~="not-prose"] *))) { + border-radius: 0.5rem; +} + +.dark\:bg-white\/80:is(.dark *) { + background-color: rgb(255 255 255 / 0.8); +} + +.dark\:bg-white\/\[15\%\]:is(.dark *) { + background-color: rgb(255 255 255 / 15%); +} + +.dark\:text-black:is(.dark *) { + --tw-text-opacity: 1; + color: rgb(0 0 0 / var(--tw-text-opacity)); +} + +.dark\:text-white:is(.dark *) { + --tw-text-opacity: 1; + color: rgb(255 255 255 / var(--tw-text-opacity)); +} + +.dark\:invert:is(.dark *) { + --tw-invert: invert(100%); + filter: var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow); +} + +.dark\:\[background-position\:right\]:is(.dark *) { + background-position: right; +} + +@media (min-width: 768px) { + .md\:min-h-\[18rem\] { + min-height: 18rem; + } + + .md\:grid-cols-2 { + grid-template-columns: repeat(2, minmax(0, 1fr)); + } +} + +@media (min-width: 1024px) { + .lg\:mb-6 { + margin-bottom: 1.5rem; + } + + .lg\:ml-6 { + margin-left: 1.5rem; + } + + .lg\:flex { + display: flex; + } + + .lg\:hidden { + display: none; + } + + .lg\:w-auto { + width: auto; + } + + .lg\:basis-1\/2 { + flex-basis: 50%; + } + + .lg\:flex-row { + flex-direction: row; + } + + .lg\:justify-end { + justify-content: flex-end; + } + + .lg\:justify-between { + justify-content: space-between; + } + + .lg\:self-center { + align-self: center; + } + + .lg\:p-6 { + padding: 1.5rem; + } + + .lg\:px-3 { + padding-left: 0.75rem; + padding-right: 0.75rem; + } + + .lg\:py-0 { + padding-top: 0px; + padding-bottom: 0px; + } + + .lg\:text-base { + font-size: 1rem; + line-height: 1.5rem; + } +} diff --git a/processed_images/01-zola.7c3a26eed1c7ab5f.png b/processed_images/01-zola.7c3a26eed1c7ab5f.png new file mode 100644 index 0000000..7919181 Binary files /dev/null and b/processed_images/01-zola.7c3a26eed1c7ab5f.png differ diff --git a/processed_images/02-zola-manet.e4241a911597aca7.png b/processed_images/02-zola-manet.e4241a911597aca7.png new file mode 100644 index 0000000..b72c107 Binary files /dev/null and b/processed_images/02-zola-manet.e4241a911597aca7.png differ diff --git a/processed_images/03-zola-cezanne.6a107e2be8013406.png b/processed_images/03-zola-cezanne.6a107e2be8013406.png new file mode 100644 index 0000000..7fb9d59 Binary files /dev/null and b/processed_images/03-zola-cezanne.6a107e2be8013406.png differ diff --git a/processed_images/04-gutenberg.faa753e9bf9c7908.jpg b/processed_images/04-gutenberg.faa753e9bf9c7908.jpg new file mode 100644 index 0000000..593fb78 Binary files /dev/null and b/processed_images/04-gutenberg.faa753e9bf9c7908.jpg differ diff --git a/processed_images/05-example.ae15f30d897ab593.jpg b/processed_images/05-example.ae15f30d897ab593.jpg new file mode 100644 index 0000000..084ed0b Binary files /dev/null and b/processed_images/05-example.ae15f30d897ab593.jpg differ diff --git a/processed_images/06-example.c154d01e3ae79960.jpg b/processed_images/06-example.c154d01e3ae79960.jpg new file mode 100644 index 0000000..be4c4a3 Binary files /dev/null and b/processed_images/06-example.c154d01e3ae79960.jpg differ diff --git a/processed_images/07-example.0bae5e2aea7a32b4.jpg b/processed_images/07-example.0bae5e2aea7a32b4.jpg new file mode 100644 index 0000000..b4d3422 Binary files /dev/null and b/processed_images/07-example.0bae5e2aea7a32b4.jpg differ diff --git a/processed_images/08-example.5c0108fc0d117d1c.jpg b/processed_images/08-example.5c0108fc0d117d1c.jpg new file mode 100644 index 0000000..6b6f170 Binary files /dev/null and b/processed_images/08-example.5c0108fc0d117d1c.jpg differ diff --git a/robots.txt b/robots.txt new file mode 100644 index 0000000..777cddf --- /dev/null +++ b/robots.txt @@ -0,0 +1,4 @@ +User-agent: * +Disallow: +Allow: / +Sitemap: https://enkaito.github.io/sitemap.xml diff --git a/sitemap.xml b/sitemap.xml new file mode 100644 index 0000000..72a72af --- /dev/null +++ b/sitemap.xml @@ -0,0 +1,29 @@ + + + + https://enkaito.github.io/ + + + https://enkaito.github.io/about/ + + + https://enkaito.github.io/archive/ + + + https://enkaito.github.io/lie_algebra/ + + + https://enkaito.github.io/lie_algebra/schur/ + 2024-12-08T00:00:00Z + + + https://enkaito.github.io/lie_algebra/weyl/ + 2024-12-08T00:00:00Z + + + https://enkaito.github.io/tags/ + + + https://enkaito.github.io/tags/lie-algebra/ + + diff --git a/tags/index.html b/tags/index.html new file mode 100644 index 0000000..dec612a --- /dev/null +++ b/tags/index.html @@ -0,0 +1,268 @@ + + + + + + + + + + enklht's blog + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
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