Coadjoint Poisson actions of Poisson-Lie groups
Quantum Algebra
2015-06-26 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
A Poisson-Lie group acting by the coadjoint action on the dual of its Lie algebra induces on it a non-trivial class of quadratic Poisson structures extending the linear Poisson bracket on the coadjoint orbits.
Keywords
Cite
@article{arxiv.math/9902065,
title = {Coadjoint Poisson actions of Poisson-Lie groups},
author = {Boris A. Kupershmidt and Ognyan S. Stoyanov},
journal= {arXiv preprint arXiv:math/9902065},
year = {2015}
}