• Corpus ID: 119072411

On m-quasiinvariants of Coxeter groups

@article{Etingof2001OnMO,
  title={On m-quasiinvariants of Coxeter groups},
  author={Pavel Etingof and Victor Ginzburg},
  journal={arXiv: Quantum Algebra},
  year={2001}
}

• P. Etingof, V. Ginzburg
• Published 20 June 2001
• Mathematics
• arXiv: Quantum Algebra

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.