Birational Weyl group action arising from a nilpotent Poisson algebra

Details Birational Weyl group action arising from a nilpotent Poisson algebra Birational Weyl group action arising from a nilpotent Poisson algebra

2000-12-05

arxiv.org/abs/math/0012028v1

Mathematics

Quantum Algebra

31 pages, LaTeX

Scientific paper

We propose a general method to realize an arbitrary Weyl group of Kac-Moody
type as a group of birational canonical transformations, by means of a
nilpotent Poisson algebra. We also give a Lie theoretic interpretation of this
realization in terms of Kac-Moody Lie algebras and Kac-Moody groups.

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