more docs for Category

docs/ct.html

@@ -11,7 +11,7 @@
 1 5<6
 1 5<5
 2 6<2<∅
-3 5&lt;3&lt;∅</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jmichel7/Chevie.jl/blob/5bd340101a23a5b11434fe8bcbb6280945cb2503/src/Gt.jl#L43-L69">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="Chevie.Gt.ClassTypes" href="#Chevie.Gt.ClassTypes"><code>Chevie.Gt.ClassTypes</code></a> — <span class="docstring-category">Type</span></header><section><div><p><code>ClassTypes(G[,p])</code></p><p><code>G</code>  should be a root  datum or a twisted  root datum representing a finite reductive  group <span>$𝐆 ^F$</span> and  <code>p</code> should be a  prime. The function returns the class types of <code>G</code> in characteristic <code>p</code> (in good characteristic if <code>p</code> is  omitted). Two elements  of <span>$𝐆 ^F$</span>  have the same  class type if their centralizers  are  conjugate.  If  <code>su</code>  is  the Jordan decomposition of an element  <code>x</code>, the class type of <code>x</code> is  determined by the class type of its semisimple part <code>s</code> and the unipotent class of <code>u</code> in <span>$C_𝐆 (s)$</span>.</p><p>The   function  <code>ClassTypes</code>  is  presently  only  implemented  for  simply connected  groups, where  <span>$C_𝐆 (s)$</span>  is connected.  This section is a bit experimental and may change in the future.</p><p><code>ClassTypes</code>  returns a  <code>struct</code> which  contains a  list of classtypes for semisimple  elements,  which  are  represented  by  <code>subspets</code>  and contain additionnaly information on the unipotent classes of <span>$C_𝐆 (s)$</span>.</p><p>Let us give some examples:</p><pre><code class="language-julia-repl hljs">julia&gt; t=ClassTypes(rootdatum(:sl,3))
+3 5&lt;3&lt;∅</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jmichel7/Chevie.jl/blob/9c43eafc05b7277d3a3f517fdc1f6d2a47b07f8c/src/Gt.jl#L43-L69">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="Chevie.Gt.ClassTypes" href="#Chevie.Gt.ClassTypes"><code>Chevie.Gt.ClassTypes</code></a> — <span class="docstring-category">Type</span></header><section><div><p><code>ClassTypes(G[,p])</code></p><p><code>G</code>  should be a root  datum or a twisted  root datum representing a finite reductive  group <span>$𝐆 ^F$</span> and  <code>p</code> should be a  prime. The function returns the class types of <code>G</code> in characteristic <code>p</code> (in good characteristic if <code>p</code> is  omitted). Two elements  of <span>$𝐆 ^F$</span>  have the same  class type if their centralizers  are  conjugate.  If  <code>su</code>  is  the Jordan decomposition of an element  <code>x</code>, the class type of <code>x</code> is  determined by the class type of its semisimple part <code>s</code> and the unipotent class of <code>u</code> in <span>$C_𝐆 (s)$</span>.</p><p>The   function  <code>ClassTypes</code>  is  presently  only  implemented  for  simply connected  groups, where  <span>$C_𝐆 (s)$</span>  is connected.  This section is a bit experimental and may change in the future.</p><p><code>ClassTypes</code>  returns a  <code>struct</code> which  contains a  list of classtypes for semisimple  elements,  which  are  represented  by  <code>subspets</code>  and contain additionnaly information on the unipotent classes of <span>$C_𝐆 (s)$</span>.</p><p>Let us give some examples:</p><pre><code class="language-julia-repl hljs">julia&gt; t=ClassTypes(rootdatum(:sl,3))
 ClassTypes(A₂,good characteristic)
 ┌──────────┬─────────┐
 │C_G(s)    │ |C_G(s)|│
@@ -81,4 +81,4 @@
 │G₂₍₂₎=Ã₁Φ₁│      (q-2)/2       qΦ₁²Φ₂│
 │G₂₍₂₎=Ã₁Φ₂│          q/2       qΦ₁Φ₂²│
 │G₂        │            1 q⁶Φ₁²Φ₂²Φ₃Φ₆│
-└──────────┴──────────────────────────┘</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jmichel7/Chevie.jl/blob/5bd340101a23a5b11434fe8bcbb6280945cb2503/src/Gt.jl#L122-L244">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="uch.html">« Unipotent characters</a><a class="docs-footer-nextpage" href="eigen.html">Eigenspaces »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Tuesday 9 April 2024 10:17">Tuesday 9 April 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+└──────────┴──────────────────────────┘</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jmichel7/Chevie.jl/blob/9c43eafc05b7277d3a3f517fdc1f6d2a47b07f8c/src/Gt.jl#L122-L244">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="uch.html">« Unipotent characters</a><a class="docs-footer-nextpage" href="eigen.html">Eigenspaces »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Tuesday 23 April 2024 18:03">Tuesday 23 April 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

docs/dict.html

@@ -394,4 +394,4 @@
 W.simpleRoots                               simpleroots(W)
 WeightInfo                                  weightinfo
 WGraph                                      Wgraph
-WGraphToRepresentation                      WGraphToRepresentation</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="gendec.html">« Decomposition Matrices</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Tuesday 9 April 2024 10:17">Tuesday 9 April 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+WGraphToRepresentation                      WGraphToRepresentation</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="gendec.html">« Decomposition Matrices</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Tuesday 23 April 2024 18:03">Tuesday 23 April 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>