Symplectic Leaves of Complex Reductive Poisson-Lie Groups
Quantum Algebra
2007-05-23 v2 Symplectic Geometry
Abstract
All factorizable Lie bialgebra structures on complex reductive Lie algebras were described by Belavin and Drinfeld. We classify the symplectic leaves of the full class of corresponding connected Poisson-Lie groups. A formula for their dimensions is also proved.
Keywords
Cite
@article{arxiv.math/0004102,
title = {Symplectic Leaves of Complex Reductive Poisson-Lie Groups},
author = {Milen Yakimov},
journal= {arXiv preprint arXiv:math/0004102},
year = {2007}
}
Comments
46 pages, LaTeX2e, Theorem 1.10 proved in the general case, minor misprints corrected