On m-quasiinvariants of Coxeter groups

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Let W be a finite Coxeter group in a Euclidean vector space V, and m a W-invariant Z_+-valued function on the set of reflections in W. Chalyh and Veselov introduced in an interesting algebra Q_m, called the algebra of m-quasiinvariants for W. This is the algebra of quantum integrals of the rational Calogero-Moser system with coupling constants m. In a recent paper math-ph/0105014, Feigin and Veselov proposed a number of interesting conjectures concerning the structure of Q_m, and verified them for dihedral groups and constant functions m. Our goal is to prove some of these conjectures in the general case.
12 pages, latex

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/61701

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106175
 http://arxiv.org/abs/math/0106175

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arXiv