Symplectic Leaves of Complex Reductive Poisson-Lie Groups

Details Symplectic Leaves of Complex Reductive Poisson-Lie Groups Symplectic Leaves of Complex Reductive Poisson-Lie Groups

2000-04-15

arxiv.org/abs/math/0004102v2

Mathematics

Quantum Algebra

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

Scientific paper

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.

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