q-Schur algebras and complex reflection groups, I
| dc.creator | Rouquier, Raphael | |
| dc.date | 2005-09-12 | |
| dc.date | 2007-12-03 | |
| dc.date.accessioned | 2026-07-07T08:46:34Z | |
| dc.date.available | 2026-07-07T08:46:34Z | |
| dc.description | We show that the category O for a rational Cherednik algebra of type A is equivalent to modules over a q-Schur algebra (parameter not a half integer), providing thus character formulas for simple modules. We give some generalization to B_n(d). We prove an ``abstract'' translation principle. These results follow from the unicity of certain highest categories covering Hecke algebras. We also provide a semi-simplicity criterion for Hecke algebras of complex reflection groups. | |
| dc.description | Corrected version, 5.2.3 and 5.2.4 are new | |
| dc.identifier | https://arxiv.org/abs/math/0509252 | |
| dc.identifier | http://arxiv.org/abs/math/0509252 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143290 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | q-Schur algebras and complex reflection groups, I | |
| dc.type | text |