Difference between revisions of "Template:Lie groups"

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imported>UtherSB
m (Undoing my mistake. Have added disambiguation on symplectic group page.)
(merged list 5 and 6)
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{{Sidebar with collapsible lists
+
<includeonly>{{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
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| class = plainlist
| imagestyle = padding-bottom:0.9em;
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| pretitlestyle = font-size:8pt; <!--font-weight:none--> padding-bottom:0.3em
| image = [[File:E8Petrie.svg|frameless|180px<!--no greater than 180px, please, for sake of smaller screens/windows-->|link=E8 (mathematics)]]
+
| pretitle = [[Group theory]] {{arrow/core|size=20}} [[Lie groups]]
| caption =  
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| title = [[Lie groups]]
| expanded = {{{expanded|{{{1|}}}}}}
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| imagestyle = display:block;margin:0.4em 0 0.9em
 +
| image = [[File:E8Petrie.svg|frameless|180px|link=E8 (mathematics)]]
 +
| listtitlestyle = text-align:center; border-bottom:1px solid #aaa
 +
| liststyle = padding-left:0.35em; padding-right:0.35em; border-bottom:1px solid #aaa
 +
| expanded = {{{cTopic|{{{expanded|{{{1|}}}}}}}}}
  
| content1 =  
+
| list1name = classical
 
+
| list1title = [[Classical group|Classical]]
 
+
| list1 =
<!-------------------- Classical -------------------------->
 
 
 
| list2name = Classical
 
| list2title = [[Classical group]]s
 
| list2 = <div class="plainlist">
 
 
* [[General linear group|General linear]] GL(''n'')
 
* [[General linear group|General linear]] GL(''n'')
 
* [[Special linear group|Special linear]] SL(''n'')
 
* [[Special linear group|Special linear]] SL(''n'')
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* [[Special unitary group|Special unitary]] SU(''n'')
 
* [[Special unitary group|Special unitary]] SU(''n'')
 
* [[Symplectic group|Symplectic]] Sp(''n'')
 
* [[Symplectic group|Symplectic]] Sp(''n'')
</div>
 
  
 
+
| list3name = simple
<!---------------------- Simple --------------------------->
+
| list3title = [[Simple Lie group|Simple]]
 
+
| list3class = hlist
| list3name = Simple
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| list3 =
| list3title = [[Simple Lie group]]s
 
| list3 = {{sidebar|navbar=off
 
| bodystyle = {{subsidebar bodystyle}}
 
| bodyclass = hlist
 
| headingstyle = font-weight:normal; font-style:italic;
 
| content1 =  
 
 
* [[List of simple Lie groups]]
 
* [[List of simple Lie groups]]
 
+
<div style="margin-top:0.25em;line-height:1.1em"> ''Classical''
  |heading2 = Classical
 
  |content2 =
 
 
* [[Simple Lie group#A series|A<sub>''n''</sub>]]
 
* [[Simple Lie group#A series|A<sub>''n''</sub>]]
 
* [[Simple Lie group#B series|B<sub>''n''</sub>]]
 
* [[Simple Lie group#B series|B<sub>''n''</sub>]]
 
* [[Simple Lie group#C series|C<sub>''n''</sub>]]
 
* [[Simple Lie group#C series|C<sub>''n''</sub>]]
 
* [[Simple Lie group#D series|D<sub>''n''</sub>]]
 
* [[Simple Lie group#D series|D<sub>''n''</sub>]]
 
+
</div> <div style="margin-top:0.6em;line-height:1.1em"> ''Exceptional''
|heading3 = Exceptional
 
|content3 =
 
 
* [[G2 (mathematics)|G<sub>2</sub>]]
 
* [[G2 (mathematics)|G<sub>2</sub>]]
 
* [[F4 (mathematics)|F<sub>4</sub>]]
 
* [[F4 (mathematics)|F<sub>4</sub>]]
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* [[E7 (mathematics)|E<sub>7</sub>]]
 
* [[E7 (mathematics)|E<sub>7</sub>]]
 
* [[E8 (mathematics)|E<sub>8</sub>]]
 
* [[E8 (mathematics)|E<sub>8</sub>]]
}}
+
</div>
 
 
<!----------------------- Other --------------------------->
 
  
| list4name = Other
+
| list4name = other
| list4title = [[Table of Lie groups|Other Lie groups]]
+
| list4title = [[Table of Lie groups|Other]]
| list4 = <div class="hlist">
+
| list4class = hlist
 +
| list4 =
 
* [[Circle group|Circle]]
 
* [[Circle group|Circle]]
 
* [[Lorentz group|Lorentz]]
 
* [[Lorentz group|Lorentz]]
 
* [[Poincaré group|Poincaré]]
 
* [[Poincaré group|Poincaré]]
* [[Conformal group]]
+
* [[Conformal group|Conformal]]
 
* [[Diffeomorphism]]
 
* [[Diffeomorphism]]
 
* [[Loop group|Loop]]
 
* [[Loop group|Loop]]
</div>
 
 
 
<!--------------------- Algebras -------------------------->
 
  
| list5name = Algebras
+
| list5name = algebras
| list5title = [[Lie algebra]]s
+
| list5title = [[Lie algebra|Algebra]]s
| list5 = <div class="plainlist">
+
| list5 = <div class="hlist" style="margin-bottom:0.4em">
 +
* [[Simple Lie algebra|Simple]]
 
* [[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]]}}
+
** [[Adjoint representation|group]]
 +
** [[Adjoint endomorphism|algebra]]
 +
* [[Killing form]]
 +
* [[Index of a Lie algebra|Index]]
 
* [[Lie point symmetry]]
 
* [[Lie point symmetry]]
*[[Simple Lie algebra]]
+
</div> ''[[Semisimple Lie algebra|Semisimple]]''
</div>
+
<div class="hlist" style="margin-top:0.15em;border-top:1px solid #aaa">
 
 
 
 
<!-------------------- Semi-simple ------------------------>
 
 
 
| list6name = Semi-simple
 
| list6title = [[Semisimple Lie algebra]]
 
| list6 = <div class="plainlist">
 
 
* [[Dynkin diagram]]s
 
* [[Dynkin diagram]]s
 
* [[Cartan subalgebra]]
 
* [[Cartan subalgebra]]
* {{hlist |[[Root system]] |[[Weyl group]]}}
+
* [[Root system]]
* {{hlist |[[Real form (Lie theory)|Real form]] |[[Complexification (Lie group)|Complexification]]}}
+
* [[Weyl group]]
 +
* [[Real form (Lie theory)|Real form]]
 +
* [[Complexification (Lie group)|Complexification]]
 
* [[Split Lie algebra]]
 
* [[Split Lie algebra]]
 
* [[Compact Lie algebra]]
 
* [[Compact Lie algebra]]
 
</div>
 
</div>
  
 
+
| list6name = homogeneous
<!-------------------- Homogeneous spaces ------------------------>
+
| list6title = [[Homogeneous space]]s
 
+
| list6 =
| list7name = Homogeneous spaces
 
| list7title = [[Homogeneous space]]s
 
| list7 = <div class="plainlist">
 
 
* [[Borel–de Siebenthal theory|Closed subgroup]]
 
* [[Borel–de Siebenthal theory|Closed subgroup]]
 
* [[Parabolic subgroup]]
 
* [[Parabolic subgroup]]
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* [[Hermitian symmetric space]]
 
* [[Hermitian symmetric space]]
 
* [[Restricted root system]]
 
* [[Restricted root system]]
</div>
 
 
 
<!------------------ Representation ----------------------->
 
 
| list8name = Representation
 
| list8title = [[Representation theory]]
 
| list8 = <div class="plainlist">
 
* [[Representation of a Lie group|Lie group representation]]
 
* [[Lie algebra representation]]
 
</div>
 
 
  
<!---------------------- Physics -------------------------->
+
| list7name = representation
 +
| list7title = [[Representation theory]]
 +
| list7class = hlist
 +
| list7 =
 +
* [[Representation of a Lie group|Lie group]]
 +
* [[Lie algebra representation|Lie algebra]]
  
| list9name = Physics
+
| list8name = physics
| list9title = Lie groups in [[physics]]
+
| list8title = Lie groups in [[physics]]
| list9 = <div class="plainlist">
+
| list8 =
* [[Particle physics and representation theory]]
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* {{longitem|style=padding:0.3em 0 0.2em|[[Particle physics and representation theory]]}}
 
* [[Representation theory of the Lorentz group|Lorentz group representations]]
 
* [[Representation theory of the Lorentz group|Lorentz group representations]]
 
* [[Representation theory of the Poincaré group|Poincaré group representations]]
 
* [[Representation theory of the Poincaré group|Poincaré group representations]]
 
* [[Representation theory of the Galilean group|Galilean group representations]]
 
* [[Representation theory of the Galilean group|Galilean group representations]]
</div>
 
 
 
<!-------------------- Scientists ------------------------->
 
 
| list10name = Scientists
 
| list10title = Scientists
 
| list10 = <div class="hlist">
 
*[[Sophus Lie]]
 
*[[Henri Poincaré]]
 
*[[Wilhelm Killing]]
 
*[[Élie Cartan]]
 
*[[Hermann Weyl]]
 
*[[Claude Chevalley]]
 
*[[Harish-Chandra]]
 
*[[Armand Borel]]
 
</div>
 
  
 +
| list9name = people
 +
| list9title = People
 +
| list9class = hlist
 +
| list9 =
 +
* [[Sophus Lie]]
 +
* [[Henri Poincaré]]
 +
* [[Wilhelm Killing]]
 +
* [[Élie Cartan]]
 +
* [[Hermann Weyl]]
 +
* [[Claude Chevalley]]
 +
* [[Harish-Chandra]]
 +
* [[Armand Borel]]
  
| belowclass = plainlist
+
| belowstyle = margin-top:0; border:none; padding-top:0
 
| below =
 
| below =
 
* [[Table of Lie groups]]
 
* [[Table of Lie groups]]
  
 
}}<noinclude>
 
}}<noinclude>
 
+
{{Documentation
{{collapsible lists option
+
| content = {{Lie groups}}
|listnames = Classical, Simple, Other, Algebras, Semi-simple, Homegeneous space,<br/>Representation, Physics, Scientists
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{{Collapsible lists option
|example = Homogeneous space
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| listnames = {{hlist |classical |simple |other |algebras |homegeneous |representation |physics |people}}
 +
| example = semi-simple
 
}}
 
}}
  
 
[[Category:Mathematics sidebar templates]]
 
[[Category:Mathematics sidebar templates]]
 
[[Category:Physics sidebar templates]]
 
[[Category:Physics sidebar templates]]
[[Category:Physics templates]]
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}}</noinclude>
 
 
</noinclude>
 

Revision as of 11:18, 21 February 2015