Transverse Poisson structures of coadjoint orbits
type: Item
instance of: scholarly article
title: Transverse Poisson structures of coadjoint orbits
zbMATH Open document ID: 0853.58048
author: Pantelis A. Damianou
published in: Bulletin des Sciences Mathématiques
publication date: 1997-01-05T00:00:00Z
review text: The author studies nonlinear Poisson brackets associated with orbits through nilpotent conjugacy classes in the Lie algebra \(\text{gl}(n,\mathbb{C})\). The methods involve transverse Poisson structures, Dirac brackets, etc. For \(n < 7\) the degree of the transverse Poisson structure is determined. Some conjectures are formulated and some of them are proved in several special cases.
reviewed by: Yuri E. Gliklikh
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 889862
zbMATH Keywords: Poisson structure
zbMATH Keywords: coadjoint orbit
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 889862