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dev/.documenter-siteinfo.json

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{"documenter":{"julia_version":"1.11.6","generation_timestamp":"2025-08-01T14:15:01","documenter_version":"1.14.1"}}
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{"documenter":{"julia_version":"1.11.6","generation_timestamp":"2025-08-01T14:28:34","documenter_version":"1.14.1"}}

dev/decompose/irreducible/index.html

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julia> irreducibles(ρ)
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IrreducibleDecomposition of SO(3)-action on 6-dimensional vector space
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number of irreducibles: 2
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dimensions of irreducibles: 1, 5</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/MultivariatePolynomialSystems/DecomposingGroupRepresentations.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="DecomposingGroupRepresentations.irreducibles-Tuple{AbstractGroupRepresentation}" href="#DecomposingGroupRepresentations.irreducibles-Tuple{AbstractGroupRepresentation}"><code>DecomposingGroupRepresentations.irreducibles</code></a><span class="docstring-category">Method</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">irreducibles(::AbstractGroupRepresentation) -&gt; IrreducibleDecomposition</code></pre><p>Returns a decomposition into irreducible subrepresentations of the given group representation.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/MultivariatePolynomialSystems/DecomposingGroupRepresentations.jl">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../representations/reprs/">« Representations</a><a class="docs-footer-nextpage" href="../isotypic/">Isotypic decomposition »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Friday 1 August 2025 14:15">Friday 1 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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dimensions of irreducibles: 1, 5</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/MultivariatePolynomialSystems/DecomposingGroupRepresentations.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="DecomposingGroupRepresentations.irreducibles-Tuple{AbstractGroupRepresentation}" href="#DecomposingGroupRepresentations.irreducibles-Tuple{AbstractGroupRepresentation}"><code>DecomposingGroupRepresentations.irreducibles</code></a><span class="docstring-category">Method</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">irreducibles(::AbstractGroupRepresentation) -&gt; IrreducibleDecomposition</code></pre><p>Returns a decomposition into irreducible subrepresentations of the given group representation.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/MultivariatePolynomialSystems/DecomposingGroupRepresentations.jl">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../representations/reprs/">« Representations</a><a class="docs-footer-nextpage" href="../isotypic/">Isotypic decomposition »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Friday 1 August 2025 14:28">Friday 1 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/decompose/isotypic/index.html

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number of isotypic components: 3
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multiplicities of irreducibles: 3, 3, 1
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dimensions of irreducibles: 1, 5, 3
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dimensions of isotypic components: 3, 15, 3</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/MultivariatePolynomialSystems/DecomposingGroupRepresentations.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="DecomposingGroupRepresentations.isotypics-Tuple{AbstractGroupRepresentation}" href="#DecomposingGroupRepresentations.isotypics-Tuple{AbstractGroupRepresentation}"><code>DecomposingGroupRepresentations.isotypics</code></a><span class="docstring-category">Method</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">isotypics(::AbstractGroupRepresentation) -&gt; IsotypicDecomposition</code></pre><p>Returns the decomposition into isotypic components of the given group representation.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/MultivariatePolynomialSystems/DecomposingGroupRepresentations.jl">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../irreducible/">« Irreducible decomposition</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Friday 1 August 2025 14:15">Friday 1 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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dimensions of isotypic components: 3, 15, 3</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/MultivariatePolynomialSystems/DecomposingGroupRepresentations.jl">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="DecomposingGroupRepresentations.isotypics-Tuple{AbstractGroupRepresentation}" href="#DecomposingGroupRepresentations.isotypics-Tuple{AbstractGroupRepresentation}"><code>DecomposingGroupRepresentations.isotypics</code></a><span class="docstring-category">Method</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">isotypics(::AbstractGroupRepresentation) -&gt; IsotypicDecomposition</code></pre><p>Returns the decomposition into isotypic components of the given group representation.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/MultivariatePolynomialSystems/DecomposingGroupRepresentations.jl">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../irreducible/">« Irreducible decomposition</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Friday 1 August 2025 14:28">Friday 1 August 2025</span>. Using Julia version 1.11.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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