Poisson manifolds associated with group actions and classical triangular \(r\)-matrices (Q1207147)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Poisson manifolds associated with group actions and classical triangular \(r\)-matrices |
scientific article; zbMATH DE number 152040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poisson manifolds associated with group actions and classical triangular \(r\)-matrices |
scientific article; zbMATH DE number 152040 |
Statements
Poisson manifolds associated with group actions and classical triangular \(r\)-matrices (English)
0 references
2 May 1993
0 references
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 \(P\times G\).
0 references
Poisson manifolds
0 references
Poisson \(G\)-space
0 references
