Lie bialgebra
id:
lie-bialgebra-201-9919318
title:
Lie bialgebra
text:
In mathematics, a Lie bialgebra is the Lie-theoretic case of a bialgebra: it is a set with a Lie algebra and a Lie coalgebra structure which are compatible. It is a bialgebra where the multiplication is skew-symmetric and satisfies a dual Jacobi identity, so that the dual vector space is a Lie algebra, whereas the comultiplication is a 1-cocycle, so that the multiplication and comultiplication are compatible. The cocycle condition implies that, in practice, one studies only classes of bialgebras
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Lie_bialgebra
date created:
date modified:
2023-11-13T01:25:38Z
main entity:
{"identifier":"Q6543812","url":"https://www.wikidata.org/entity/Q6543812"}
image:
fields total:
13
integrity:
13