Modular classes of regular twisted Poisson structures on Lie algebroids
辛几何
2012-12-05 v3 数学物理
math.MP
摘要
We derive a formula for the the modular class of a Lie algebroid with a regular twisted Poisson structure in terms of a canonical Lie algebroid representation of the image of the Poisson map. We use this formula to compute the modular classes of Lie algebras with a twisted triangular r-matrix. The special case of r-matrices associated to Frobenius Lie algebras is also studied.
引用
@article{arxiv.math/0701209,
title = {Modular classes of regular twisted Poisson structures on Lie algebroids},
author = {Yvette Kosmann-Schwarzbach and Milen Yakimov},
journal= {arXiv preprint arXiv:math/0701209},
year = {2012}
}
备注
13 pages, v.2 and 3: minor changes and two references added