On m-quasiinvariants of Coxeter groups
| dc.creator | Etingof, Pavel | |
| dc.creator | Ginzburg, Victor | |
| dc.date | 2001-06-20 | |
| dc.date.accessioned | 2026-07-07T04:42:15Z | |
| dc.date.available | 2026-07-07T04:42:15Z | |
| dc.description | 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. | |
| dc.description | 12 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/0106175 | |
| dc.identifier | http://arxiv.org/abs/math/0106175 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61701 | |
| dc.subject | Quantum Algebra | |
| dc.title | On m-quasiinvariants of Coxeter groups | |
| dc.type | text |