Some remarks on the transverse Poisson structures of coadjoint orbits
type: Item
instance of: scholarly article
title: Some remarks on the transverse Poisson structures of coadjoint orbits
zbMATH Open document ID: 0601.58040
DOI: 10.1007/BF00416457
author: Yong-Geun Oh
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: We describe how to compute the transverse Poisson structures of coadjoint orbits using Dirac's constraint bracket formula, and we prove that if the isotropy algebra admits a complementary subalgebra, then the transverse structure is, at most, quadratic.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 3969720
zbMATH Keywords: transverse Poisson structures of coadjoint orbits
zbMATH Keywords: Dirac's constraint bracket formula
MaRDI profile type: Publication
cites work: On Whittaker vectors and representation theory
cites work: Q3874985
cites work: Hamiltonian group actions and integrable systems
cites work: The local structure of Poisson manifolds
description: scientific article; zbMATH DE number 3969720