Maximal torus
id:
maximal-torus-275-12196902
title:
Maximal torus
text:
In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a compact Lie group G is a compact, connected, abelian Lie subgroup of G. A maximal torus is one which is maximal among such subgroups. That is, T is a maximal torus if for any torus T′ containing T we have T = T′. Every torus is contained in a maximal torus simply by dimensional considerations. A noncompact Lie group need not have any nontrivial
brand slug:
wiki
category slug:
encyclopedia
description:
Maximal compact connected Abelian Lie subgroup.
original url:
https://en.wikipedia.org/wiki/Maximal_torus
date created:
date modified:
2023-12-10T04:22:34Z
main entity:
{"identifier":"Q1000120","url":"https://www.wikidata.org/entity/Q1000120"}
image:
fields total:
13
integrity:
14