Symplectic Leaves of Complex Reductive Poisson-Lie Groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
46 pages, LaTeX2e, Theorem 1.10 proved in the general case, minor misprints corrected

Keywords

Quantum Algebra, Symplectic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/59030

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004102
 http://arxiv.org/abs/math/0004102

Collections

arXiv