Poisson manifolds associated with group actions and classical triangular \(r\)-matrices
type: Item
instance of: scholarly article
title: Poisson manifolds associated with group actions and classical triangular \(r\)-matrices
zbMATH Open document ID: 0777.58016
author: Ping Xu
published in: Journal of Functional Analysis
publication date: 1993-05-02T00:00:00Z
review text: Given a Poisson \(G\)-space \(P\) and a classical triangular \(r\)-matrix (which corresponds 1-1 with a right invariant Poisson structure on \(G)\) a new Poisson structure on \(P\) is constructed via reduction of \(P\times G\).
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 152040
zbMATH Keywords: Poisson manifolds
zbMATH Keywords: Poisson \(G\)-space
reviewed by: Christian Günther
MaRDI profile type: Publication
full work available at URL: jfan.1993.1031
OpenAlex ID: W2121573171
DOI: 10.1006/JFAN.1993.1031
description: scientific article; zbMATH DE number 152040