Difference between revisions of "Template:Lie groups"

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imported>Mathsci
imported>CsDix
(class <div>s, collapsible lists option example)
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| 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-->|link=E8 (mathematics)]]
 
| caption =  
 
| caption =  
| listclass = hlist
 
 
| expanded = {{{expanded|{{{1|}}}}}}
 
| expanded = {{{expanded|{{{1|}}}}}}
  
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| list2name = Classical
 
| list2name = Classical
 
| list2title = [[Classical group]]s
 
| list2title = [[Classical group]]s
| list2 =
+
| 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)
 
 
* [[Orthogonal group|Orthogonal]] O(n)
 
* [[Orthogonal group|Orthogonal]] O(n)
 
 
* [[Special orthogonal group|Special orthogonal]] SO(n)
 
* [[Special orthogonal group|Special orthogonal]] SO(n)
 
 
* [[Unitary group|Unitary]] U(n)
 
* [[Unitary group|Unitary]] U(n)
 
 
* [[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>
  
  
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| list3name = Simple
 
| list3name = Simple
 
| list3title = [[Simple Lie group]]s
 
| list3title = [[Simple Lie group]]s
| list3 =
+
| list3 = <div class="hlist">
 
* [[List of simple Lie groups]]
 
* [[List of simple Lie groups]]
 
{{Sidebar subsection |headingstyle=padding-top:0.2em;
 
{{Sidebar subsection |headingstyle=padding-top:0.2em;
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* [[E8 (mathematics)|E<sub>8</sub>]]
 
* [[E8 (mathematics)|E<sub>8</sub>]]
 
}}
 
}}
 +
</div>
  
  
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| list4name = Other
 
| list4name = Other
 
| list4title = [[Table of Lie groups|Other Lie groups]]
 
| list4title = [[Table of Lie groups|Other Lie groups]]
| list4 =
+
| list4 = <div class="hlist">
 
* [[Circle group|Circle]]
 
* [[Circle group|Circle]]
 
* [[Lorentz group|Lorentz]]
 
* [[Lorentz group|Lorentz]]
 
 
* [[Poincaré group|Poincaré]]
 
* [[Poincaré group|Poincaré]]
 
* [[Conformal group]]
 
* [[Conformal group]]
 
 
* [[Diffeomorphism]]
 
* [[Diffeomorphism]]
 
* [[Loop group|Loop]]
 
* [[Loop group|Loop]]
 +
</div>
  
  
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| list5name = Algebras
 
| list5name = Algebras
 
| list5title = [[Lie algebra]]s
 
| list5title = [[Lie algebra]]s
| list5 =
+
| list5 = <div class="plainlist">
 
* [[Exponential map]]
 
* [[Exponential map]]
{{longlink |[[Adjoint representation]] {{hlist|([[Adjoint representation|group]]|[[Adjoint endomorphism|algebra]])}}}}
+
* {{longlink |[[Adjoint representation]] {{hlist|([[Adjoint representation|group]]|[[Adjoint endomorphism|algebra]])}}}}
* [[Killing form]]
+
* {{hlist |[[Killing form]] |[[Index of a Lie algebra|Index]]}}
* [[Index of a Lie algebra|Index]]
 
 
 
 
* [[Lie point symmetry]]
 
* [[Lie point symmetry]]
 +
</div>
  
  
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| list6name = Semi-simple
 
| list6name = Semi-simple
 
| list6title = [[Semisimple Lie algebra|Semi-simple Lie groups]]
 
| list6title = [[Semisimple Lie algebra|Semi-simple Lie groups]]
| list6 =
+
| 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]]
 +
</div>
  
* [[Compact Lie algebra]]
 
  
 
<!-------------------- Homogeneous spaces ------------------------>
 
<!-------------------- Homogeneous spaces ------------------------>
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| list7name = Homogeneous spaces
 
| list7name = Homogeneous spaces
 
| list7title = [[Homogeneous space]]s
 
| list7title = [[Homogeneous space]]s
| list7 =
+
| list7 = <div class="plainlist">
 
 
 
* [[Borel–de Siebenthal theory|Closed subgroup]]
 
* [[Borel–de Siebenthal theory|Closed subgroup]]
 
* [[Parabolic subgroup]]
 
* [[Parabolic subgroup]]
 
* [[Symmetric space]]
 
* [[Symmetric space]]
 
* [[Hermitian symmetric space]]
 
* [[Hermitian symmetric space]]
 +
</div>
 +
  
 
<!------------------ Representation ----------------------->
 
<!------------------ Representation ----------------------->
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| list8name = Representation
 
| list8name = Representation
 
| list8title = [[Representation theory]]
 
| list8title = [[Representation theory]]
| list8 =
+
| list8 = <div class="plainlist">
 
* [[Representation of a Lie group|Lie group representation]]
 
* [[Representation of a Lie group|Lie group representation]]
 
 
* [[Lie algebra representation]]
 
* [[Lie algebra representation]]
 
+
</div>
  
  
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| list9name = Physics
 
| list9name = Physics
 
| list9title = Lie groups in [[physics]]
 
| list9title = Lie groups in [[physics]]
| list9 =
+
| list9 = <div class="plainlist">
 
* [[Particle physics and representation theory|Particle physics and representation]]
 
* [[Particle physics and representation theory|Particle physics and representation]]
 
 
* [[Representation theory of the Lorentz group|Lorentz group representation]]
 
* [[Representation theory of the Lorentz group|Lorentz group representation]]
 
 
* [[Representation theory of the Poincaré group|Poincaré group representation]]
 
* [[Representation theory of the Poincaré group|Poincaré group representation]]
 
 
* [[Representation theory of the Galilean group|Galilean group representation]]
 
* [[Representation theory of the Galilean group|Galilean group representation]]
 +
</div>
  
  
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| list10name = Scientists
 
| list10name = Scientists
 
| list10title = Scientists
 
| list10title = Scientists
| list10 = <!--[[Contributors to ...|''others'']]-->
+
| list10 = <div class="hlist">
 
 
 
*[[Sophus Lie]]
 
*[[Sophus Lie]]
 
*[[Henri Poincaré]]
 
*[[Henri Poincaré]]
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*[[Harish-Chandra]]
 
*[[Harish-Chandra]]
 
*[[Armand Borel]]
 
*[[Armand Borel]]
 +
</div>
 +
  
 
| belowclass = plainlist
 
| belowclass = plainlist
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{{collapsible lists option
 
{{collapsible lists option
  |listnames = Classical, Simple, Other, Algebras, Semi-simple, Homegeneous space, Representation, Physics, Scientists
+
  |listnames = Classical, Simple, Other, Algebras, Semi-simple, Homegeneous space,<br/>Representation, Physics, Scientists
 +
|example = Homogeneous space
 
}}
 
}}
  

Revision as of 10:53, 21 March 2013

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}}

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