Birational Weyl group action arising from a nilpotent Poisson algebra (Q2751980)
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scientific article; zbMATH DE number 1665298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Birational Weyl group action arising from a nilpotent Poisson algebra |
scientific article; zbMATH DE number 1665298 |
Statements
21 October 2001
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Weyl group of Kac-Moody type
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nilpotent Poisson algebra
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cocycle
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Birational Weyl group action arising from a nilpotent Poisson algebra (English)
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The authors propose a general method to realize an arbitrary Weyl group of Kac-Moody type as a group of birational canonical transformations. Their construction is formulated by means of a nilpotent Poisson algebra. They also discuss a certain cocycle related to this realization and its regularity, and give a proof to a generalization of the regularity.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00054].
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