Lectures on quasi-invariants of Coxeter groups and the Cherednik algebra
| dc.creator | Etingof, Pavel | |
| dc.creator | Strickland, Elisabetta | |
| dc.date | 2002-04-09 | |
| dc.date.accessioned | 2026-07-07T04:47:32Z | |
| dc.date.available | 2026-07-07T04:47:32Z | |
| dc.description | The paper an elementary introduction for non-specialists to the theory of quasi-invariants of Coxeter groups. The main object of study is the variety X_m of quasi-invariants for a finite Coxeter group, which arose in a work of O.Chalykh and A.Veselov about 10 years ago, as the spectral variety of the quantum Calogero-Moser system. Despite being singular, this variety has very nice properties (Cohen-Macaulay, Gorenstein, simplicity of the ring of differential operators, explicitly given Hilbert series). It is interesting that although the definition of X_m is completely elementary, to understand the geometry of X_m it is helpful to use representation theory of the rational degeneration of Cherednik's double affine Hecke algebra, and the theory of integrable systems. | |
| dc.description | 28 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/0204104 | |
| dc.identifier | http://arxiv.org/abs/math/0204104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63751 | |
| dc.subject | Quantum Algebra | |
| dc.title | Lectures on quasi-invariants of Coxeter groups and the Cherednik algebra | |
| dc.type | text |