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	<title>Template:Lie groups - Revision history</title>
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	<updated>2026-06-27T09:00:35Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Lie_groups&amp;diff=46501&amp;oldid=prev</id>
		<title>Indicwiki: 1 revision imported from :alpha:Template:Lie_groups</title>
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		<updated>2022-12-15T04:17:27Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported from &lt;a href=&quot;https://alpha.indicwiki.in/index.php?title=Template:Lie_groups&quot; class=&quot;extiw&quot; title=&quot;alpha:Template:Lie groups&quot;&gt;alpha:Template:Lie_groups&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:47, 15 December 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en-GB&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
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		<author><name>Indicwiki</name></author>
	</entry>
	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Lie_groups&amp;diff=46500&amp;oldid=prev</id>
		<title>alpha&gt;Sarika: Created page with &quot;{{Sidebar with collapsible lists | name = Lie groups | title = &lt;!-- the group theory is often about finite groups so a link to group theory isn’t too relevant &lt;span styl...&quot;</title>
		<link rel="alternate" type="text/html" href="https://www.vigyanwiki.in/index.php?title=Template:Lie_groups&amp;diff=46500&amp;oldid=prev"/>
		<updated>2022-12-14T05:02:23Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Sidebar with collapsible lists | name = Lie groups | title = &amp;lt;!-- the group theory is often about finite groups so a link to &lt;a href=&quot;/index.php?title=Group_theory&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Group theory (page does not exist)&quot;&gt;group theory&lt;/a&gt; isn’t too relevant &amp;lt;span styl...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Sidebar with collapsible lists&lt;br /&gt;
| name = Lie groups&lt;br /&gt;
| title = &amp;lt;!-- the group theory is often about finite groups so a link to [[group theory]] isn’t too relevant&lt;br /&gt;
&amp;lt;span style=&amp;quot;font-size: 8pt; font-weight: none&amp;quot;&amp;gt;[[Group theory]] → '''Lie groups'''&amp;lt;/span&amp;gt;--&amp;gt;[[Lie group]]s&lt;br /&gt;
| imagestyle = padding-bottom:0.9em;&lt;br /&gt;
| image = [[File:E8Petrie.svg|frameless|180px&amp;lt;!--no greater than 180px, please, for sake of smaller screens/windows--&amp;gt;]]&lt;br /&gt;
| caption = &lt;br /&gt;
| expanded = {{{expanded|{{{1|}}}}}}&lt;br /&gt;
&lt;br /&gt;
| content1 = &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-------------------- Classical --------------------------&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| list2name = Classical&lt;br /&gt;
| list2title = [[Classical group]]s&lt;br /&gt;
| list2 = {{plainlist|&lt;br /&gt;
* [[General linear group|General linear]] GL(''n'')&lt;br /&gt;
* [[Special linear group|Special linear]] SL(''n'')&lt;br /&gt;
* [[Orthogonal group|Orthogonal]] O(''n'')&lt;br /&gt;
* [[Special orthogonal group|Special orthogonal]] SO(''n'')&lt;br /&gt;
* [[Unitary group|Unitary]] U(''n'')&lt;br /&gt;
* [[Special unitary group|Special unitary]] SU(''n'')&lt;br /&gt;
* [[Symplectic group|Symplectic]] Sp(''n'')&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!---------------------- Simple ---------------------------&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| list3name = Simple&lt;br /&gt;
| list3title = [[Simple Lie group]]s&lt;br /&gt;
| list3 = {{sidebar|navbar=off&lt;br /&gt;
 | bodystyle = {{subsidebar bodystyle}}&lt;br /&gt;
 | bodyclass = hlist&lt;br /&gt;
 | headingstyle = font-weight:normal; font-style:italic;&lt;br /&gt;
&lt;br /&gt;
  |heading2 = Classical&lt;br /&gt;
  |content2 =&lt;br /&gt;
* [[Simple Lie group#A series|A&amp;lt;sub&amp;gt;''n''&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
* [[Simple Lie group#B series|B&amp;lt;sub&amp;gt;''n''&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
* [[Simple Lie group#C series|C&amp;lt;sub&amp;gt;''n''&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
* [[Simple Lie group#D series|D&amp;lt;sub&amp;gt;''n''&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
 |heading3 = Exceptional&lt;br /&gt;
 |content3 =&lt;br /&gt;
* [[G2 (mathematics)|G&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
* [[F4 (mathematics)|F&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
* [[E6 (mathematics)|E&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
* [[E7 (mathematics)|E&amp;lt;sub&amp;gt;7&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
* [[E8 (mathematics)|E&amp;lt;sub&amp;gt;8&amp;lt;/sub&amp;gt;]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!----------------------- Other ---------------------------&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| list4name = Other&lt;br /&gt;
| list4title = [[Table of Lie groups|Other Lie groups]]&lt;br /&gt;
| list4 = {{flatlist|&lt;br /&gt;
* [[Circle group|Circle]]&lt;br /&gt;
* [[Lorentz group|Lorentz]]&lt;br /&gt;
* [[Poincaré group|Poincaré]]&lt;br /&gt;
* [[Conformal group]]&lt;br /&gt;
* [[Diffeomorphism]]&lt;br /&gt;
* [[Loop group|Loop]]&lt;br /&gt;
* [[Euclidean group|Euclidean]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!--------------------- Algebras --------------------------&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| list5name = Algebras&lt;br /&gt;
| list5title = [[Lie algebra]]s&lt;br /&gt;
| list5 = {{plainlist|&lt;br /&gt;
* [[Lie group–Lie algebra correspondence]]&lt;br /&gt;
* [[Exponential map (Lie theory)|Exponential map]]&lt;br /&gt;
* [[Adjoint representation]]&lt;br /&gt;
* {{hlist |[[Killing form]] |[[Index of a Lie algebra|Index]]}}&lt;br /&gt;
*[[Simple Lie algebra]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-------------------- Semi-simple ------------------------&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| list6name = Semi-simple&lt;br /&gt;
| list6title = [[Semisimple Lie algebra]]&lt;br /&gt;
| list6 = {{plainlist|&lt;br /&gt;
* [[Dynkin diagram]]s&lt;br /&gt;
* [[Cartan subalgebra]]&lt;br /&gt;
* {{hlist |[[Root system]] |[[Weyl group]]}}&lt;br /&gt;
* {{hlist |[[Real form (Lie theory)|Real form]] |[[Complexification (Lie group)|Complexification]]}}&lt;br /&gt;
* [[Split Lie algebra]]&lt;br /&gt;
* [[Compact Lie algebra]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!------------------ Representation -----------------------&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| list8name = Representation&lt;br /&gt;
| list8title = [[Representation theory]]&lt;br /&gt;
| list8 = {{plainlist|&lt;br /&gt;
* [[Representation of a Lie group|Lie group representation]]&lt;br /&gt;
* [[Lie algebra representation]]&lt;br /&gt;
* [[Representation theory of semisimple Lie algebras]]&lt;br /&gt;
* [[Representations of classical Lie groups]]&lt;br /&gt;
* [[Theorem of the highest weight]]&lt;br /&gt;
* [[Borel–Weil–Bott theorem]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!---------------------- Physics --------------------------&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| list9name = Physics&lt;br /&gt;
| list9title = Lie groups in [[physics]]&lt;br /&gt;
| list9 = {{plainlist|&lt;br /&gt;
* [[Particle physics and representation theory]]&lt;br /&gt;
* [[Representation theory of the Lorentz group|Lorentz group representations]]&lt;br /&gt;
* [[Representation theory of the Poincaré group|Poincaré group representations]]&lt;br /&gt;
* [[Representation theory of the Galilean group|Galilean group representations]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-------------------- Scientists -------------------------&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| list10name = Scientists&lt;br /&gt;
| list10title = Scientists&lt;br /&gt;
| list10 = {{flatlist|&lt;br /&gt;
*[[Sophus Lie]]&lt;br /&gt;
*[[Henri Poincaré]]&lt;br /&gt;
*[[Wilhelm Killing]]&lt;br /&gt;
*[[Élie Cartan]]&lt;br /&gt;
*[[Hermann Weyl]]&lt;br /&gt;
*[[Claude Chevalley]]&lt;br /&gt;
*[[Harish-Chandra]]&lt;br /&gt;
*[[Armand Borel]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| belowclass = plainlist&lt;br /&gt;
| below =&lt;br /&gt;
* [[Glossary of Lie groups and Lie algebras|Glossary]]&lt;br /&gt;
* [[Table of Lie groups]]&lt;br /&gt;
&lt;br /&gt;
}}&amp;lt;noinclude&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{{collapsible lists option&lt;br /&gt;
 |listnames = Classical, Simple, Other, Algebras, Semi-simple, Homegeneous space,&amp;lt;br/&amp;gt;Representation, Physics, Scientists&lt;br /&gt;
 |example = Homogeneous space&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics sidebar templates]]&lt;br /&gt;
[[Category:Physics sidebar templates]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/noinclude&amp;gt;[[Category: Templates Vigyan Ready]]&lt;/div&gt;</summary>
		<author><name>alpha&gt;Sarika</name></author>
	</entry>
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