Universal enveloping algebra
id:
universal-enveloping-algebra-168-13779769
title:
Universal enveloping algebra
text:
In mathematics, the universal enveloping algebra of a Lie algebra is the unital associative algebra whose representations correspond precisely to the representations of that Lie algebra. Universal enveloping algebras are used in the representation theory of Lie groups and Lie algebras. For example, Verma modules can be constructed as quotients of the universal enveloping algebra. In addition, the enveloping algebra gives a precise definition for the Casimir operators. Because Casimir operators c
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in mathematics
original url:
https://en.wikipedia.org/wiki/Universal_enveloping_algebra
date created:
2003-11-11T15:29:41Z
date modified:
2024-08-31T15:30:32Z
main entity:
{"identifier":"Q1673406","url":"https://www.wikidata.org/entity/Q1673406"}
image:
fields total:
13
integrity:
15