Symplectic leaves of complex reductive Poisson-Lie groups

Milen Yakimov

doi:10.1215/S0012-9074-02-11233-2

Abstract

All factorizable Lie bialgebra structures on complex reductive Lie algebras were described by Belavin and Drinfeld. We classify the symplectic leaves of all related Poisson-Lie groups. A formula for their dimensions is also proved.

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Milen Yakimov. "Symplectic leaves of complex reductive Poisson-Lie groups." Duke Math. J. 112 (3) 453 - 509, 15 April 2002. https://doi.org/10.1215/S0012-9074-02-11233-2

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Published: 15 April 2002

First available in Project Euclid: 18 June 2004

zbMATH: 1031.17012

MathSciNet: MR1896471

Digital Object Identifier: 10.1215/S0012-9074-02-11233-2

Subjects:

Primary: 17B62

Secondary: 22E10 , 53D17

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