Birational Weyl group action arising from a nilpotent Poisson algebra
Quantum Algebra
2017-08-23 v1 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0012028,
title = {Birational Weyl group action arising from a nilpotent Poisson algebra},
author = {Masatoshi Noumi and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:math/0012028},
year = {2017}
}
Comments
31 pages, LaTeX