Closed-subgroup theorem
id:
closed-subgroup-theorem-206-16874572
title:
Closed-subgroup theorem
text:
In mathematics, the closed-subgroup theorem is a theorem in the theory of Lie groups. It states that if H is a closed subgroup of a Lie group G, then H is an embedded Lie group with the smooth structure agreeing with the embedding.
One of several results known as Cartan's theorem, it was first published in 1930 by Élie Cartan, who was inspired by John von Neumann's 1929 proof of a special case for groups of linear transformations.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Closed-subgroup_theorem
date created:
2014-07-15T23:21:09Z
date modified:
2024-09-10T21:25:47Z
main entity:
{"identifier":"Q18206032","url":"https://www.wikidata.org/entity/Q18206032"}
image:
fields total:
13
integrity:
14