Difference between revisions of "Template:Lie groups"

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imported>UtherSB
m (Undoing my mistake. Have added disambiguation on symplectic group page.)
imported>TakuyaMurata
(List of simple Lie groups has been merged)
 
(21 intermediate revisions by 10 users not shown)
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{{Sidebar with collapsible lists
 
{{Sidebar with collapsible lists
 
| name = Lie groups
 
| name = Lie groups
| title = <font style="font-size: 8pt; font-weight: none">[[Group theory]] → '''Lie groups'''</font><br>[[Lie group]]s
+
| title = <!-- the group theory is often about finite groups so a link to [[group theory]] isn’t too relevant
 +
<span style="font-size: 8pt; font-weight: none">[[Group theory]] → '''Lie groups'''</span>-->[[Lie group]]s
 
| imagestyle = padding-bottom:0.9em;
 
| imagestyle = padding-bottom:0.9em;
| image = [[File:E8Petrie.svg|frameless|180px<!--no greater than 180px, please, for sake of smaller screens/windows-->|link=E8 (mathematics)]]
+
| image = [[File:E8Petrie.svg|frameless|180px<!--no greater than 180px, please, for sake of smaller screens/windows-->]]
 
| caption =  
 
| caption =  
 
| expanded = {{{expanded|{{{1|}}}}}}
 
| expanded = {{{expanded|{{{1|}}}}}}
  
 
| content1 =  
 
| content1 =  
 
  
 
<!-------------------- Classical -------------------------->
 
<!-------------------- Classical -------------------------->
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  | bodyclass = hlist
 
  | bodyclass = hlist
 
  | headingstyle = font-weight:normal; font-style:italic;
 
  | headingstyle = font-weight:normal; font-style:italic;
| content1 =
 
* [[List of simple Lie groups]]
 
  
 
   |heading2 = Classical
 
   |heading2 = Classical
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* [[Diffeomorphism]]
 
* [[Diffeomorphism]]
 
* [[Loop group|Loop]]
 
* [[Loop group|Loop]]
 +
* [[Euclidean group|Euclidean]]
 
</div>
 
</div>
  
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| list5title = [[Lie algebra]]s
 
| list5title = [[Lie algebra]]s
 
| list5 = <div class="plainlist">
 
| list5 = <div class="plainlist">
 +
* [[Lie group–Lie algebra correspondence]]
 
* [[Exponential map (Lie theory)|Exponential map]]
 
* [[Exponential map (Lie theory)|Exponential map]]
* {{longlink |[[Adjoint representation]] {{hlist|([[Adjoint representation|group]]|[[Adjoint endomorphism|algebra]])}}}}
+
* [[Adjoint representation]]
 
* {{hlist |[[Killing form]] |[[Index of a Lie algebra|Index]]}}
 
* {{hlist |[[Killing form]] |[[Index of a Lie algebra|Index]]}}
 
* [[Lie point symmetry]]
 
* [[Lie point symmetry]]
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* [[Split Lie algebra]]
 
* [[Split Lie algebra]]
 
* [[Compact Lie algebra]]
 
* [[Compact Lie algebra]]
</div>
 
 
 
<!-------------------- Homogeneous spaces ------------------------>
 
 
| list7name = Homogeneous spaces
 
| list7title = [[Homogeneous space]]s
 
| list7 = <div class="plainlist">
 
* [[Borel–de Siebenthal theory|Closed subgroup]]
 
* [[Parabolic subgroup]]
 
* [[Symmetric space]]
 
* [[Hermitian symmetric space]]
 
* [[Restricted root system]]
 
 
</div>
 
</div>
  
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* [[Representation of a Lie group|Lie group representation]]
 
* [[Representation of a Lie group|Lie group representation]]
 
* [[Lie algebra representation]]
 
* [[Lie algebra representation]]
 +
* [[Representation theory of semisimple Lie algebras]]
 +
* [[Representations of classical Lie groups]]
 +
* [[Theorem of the highest weight]]
 +
* [[Borel–Weil–Bott theorem]]
 
</div>
 
</div>
  
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| belowclass = plainlist
 
| belowclass = plainlist
 
| below =
 
| below =
 +
* [[Glossary of Lie groups and Lie algebras|Glossary]]
 
* [[Table of Lie groups]]
 
* [[Table of Lie groups]]
  
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[[Category:Mathematics sidebar templates]]
 
[[Category:Mathematics sidebar templates]]
 
[[Category:Physics sidebar templates]]
 
[[Category:Physics sidebar templates]]
[[Category:Physics templates]]
 
  
 
</noinclude>
 
</noinclude>

Latest revision as of 19:25, 20 January 2021

This template includes collapsible lists.

  • To set it to display all lists when it appears (i.e. all lists expanded), use:
  •  {{Lie groups |expanded=all}} or, if enabled, {{Lie groups |all}}  (i.e. omitting "expanded=").
  • To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use:
  •  {{Lie groups |expanded=listname}} or, if enabled, {{Lie groups |listname}}
  • …where listname is one of the following (do not include any quotemarks):
  • Classical, Simple, Other, Algebras, Semi-simple, Homegeneous space,
    Representation, Physics, Scientists
  • For example, {{Lie groups |expanded=Homogeneous space}} or, if enabled, {{Lie groups |Homogeneous space}}