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BIRATIONAL WEYL GROUP ACTION ARISING FROM A NILPOTENT POISSON ALGEBRA

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Publication:2751980
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DOI10.1142/9789812810199_0010zbMath0991.37047arXivmath/0012028OpenAlexW2031695635MaRDI QIDQ2751980

Yasuhiko Yamada, Masatoshi Noumi

Publication date: 21 October 2001

Published in: Physics and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012028


zbMATH Keywords

cocyclenilpotent Poisson algebraWeyl group of Kac-Moody type


Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Poisson algebras (17B63) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)


Related Items (5)

Theory and applications of the elliptic Painlevé equation ⋮ Notes on Umemura polynomials ⋮ Virasoro constraints for Drinfeld–Sokolov hierarchies and equations of Painlevé type ⋮ Geometric aspects of Painlevé equations ⋮ Quantum representation of affine Weyl groups and associated quantum curves




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