Quadratic Deformations of Lie-Poisson Structures
Differential Geometry
2015-05-13 v4 Mathematical Physics
math.MP
Abstract
In this letter, first we give a decomposition for any Lie-Poisson structure associated to the modular vector. In particular, splits into two compatible Lie-Poisson structures if . As an application, we classified quadratic deformations of Lie-Poisson structures on up to linear diffeomorphisms.
Cite
@article{arxiv.0707.2867,
title = {Quadratic Deformations of Lie-Poisson Structures},
author = {Qian Lin and Zhangju Liu and Yunhe Sheng},
journal= {arXiv preprint arXiv:0707.2867},
year = {2015}
}
Comments
14 pages, no figure