Difference between revisions of "Template:Lie groups"
Jump to navigation
Jump to search
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) | |||
| Line 1: | Line 1: | ||
{{Sidebar with collapsible lists | {{Sidebar with collapsible lists | ||
| name = Lie groups | | name = Lie groups | ||
| − | | title = < | + | | 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--> | + | | 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 --------------------------> | ||
| Line 33: | Line 33: | ||
| bodyclass = hlist | | bodyclass = hlist | ||
| headingstyle = font-weight:normal; font-style:italic; | | headingstyle = font-weight:normal; font-style:italic; | ||
| − | |||
| − | |||
|heading2 = Classical | |heading2 = Classical | ||
| Line 63: | Line 61: | ||
* [[Diffeomorphism]] | * [[Diffeomorphism]] | ||
* [[Loop group|Loop]] | * [[Loop group|Loop]] | ||
| + | * [[Euclidean group|Euclidean]] | ||
</div> | </div> | ||
| Line 71: | Line 70: | ||
| 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]] | ||
| − | * | + | * [[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]] | ||
| Line 90: | Line 90: | ||
* [[Split Lie algebra]] | * [[Split Lie algebra]] | ||
* [[Compact Lie algebra]] | * [[Compact Lie algebra]] | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
</div> | </div> | ||
| Line 113: | Line 100: | ||
* [[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> | ||
| Line 146: | Line 137: | ||
| belowclass = plainlist | | belowclass = plainlist | ||
| below = | | below = | ||
| + | * [[Glossary of Lie groups and Lie algebras|Glossary]] | ||
* [[Table of Lie groups]] | * [[Table of Lie groups]] | ||
| Line 157: | Line 149: | ||
[[Category:Mathematics sidebar templates]] | [[Category:Mathematics sidebar templates]] | ||
[[Category:Physics sidebar templates]] | [[Category:Physics sidebar templates]] | ||
| − | |||
</noinclude> | </noinclude> | ||
Latest revision as of 19:25, 20 January 2021
| Lie groups |
|---|
|
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}}