On mquasiinvariants of Coxeter groups
Abstract
Let W be a finite Coxeter group in a Euclidean vector space V, and m a Winvariant Z_+valued function on the set of reflections in W. Chalyh and Veselov introduced in an interesting algebra Q_m, called the algebra of mquasiinvariants for W. This is the algebra of quantum integrals of the rational CalogeroMoser system with coupling constants m. In a recent paper mathph/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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2001
 arXiv:
 arXiv:math/0106175
 Bibcode:
 2001math......6175E
 Keywords:

 Quantum Algebra
 EPrint:
 12 pages, latex