Poisson–Lie group
id:
poisson-lie-group-201-11660308
title:
Poisson–Lie group
text:
In mathematics, a Poisson–Lie group is a Poisson manifold that is also a Lie group, with the group multiplication being compatible with the Poisson algebra structure on the manifold. The infinitesimal counterpart of a Poisson–Lie group is a Lie bialgebra, in analogy to Lie algebras as the infinitesimal counterparts of Lie groups. Many quantum groups are quantizations of the Poisson algebra of functions on a Poisson–Lie group.
brand slug:
wiki
category slug:
encyclopedia
description:
Poisson manifold that is also a Lie group
original url:
https://en.wikipedia.org/wiki/Poisson%E2%80%93Lie_group
date created:
date modified:
2023-12-10T02:39:20Z
main entity:
{"identifier":"Q7208511","url":"https://www.wikidata.org/entity/Q7208511"}
image:
fields total:
13
integrity:
14