Residue construction of Hecke algebras
| dc.creator | Ginzburg, Victor | |
| dc.creator | Kapranov, Mikhail | |
| dc.creator | Vasserot, Eric | |
| dc.date | 1995-12-26 | |
| dc.date | 1995-12-29 | |
| dc.date.accessioned | 2026-07-07T08:58:04Z | |
| dc.date.available | 2026-07-07T08:58:04Z | |
| dc.description | Hecke algebras are usually defined algebraically, via generators and relations. We give a new algebro-geometric construction of affine and double-affine Hecke algebras (the former is known as the Iwahori-Hecke algebra, and the latter was introduced by Cherednik [Ch1]). More generally, to any generalized Cartan matrix A and a point q in a 1-dimensional complex algebraic group \c we associate an associative algebra H. If A is of finite type and \c=C^*, the algebra H is the affine Hecke algebra of the corresponding finite root system. If A is of affine type and \c=C^* then H is, essentially, the Cherednik algebra. The case \c=C corresponds to `degenerate' counterparts of the above objects cosidered by Drinfeld [Dr] and Lusztig [L2]. Finally, taking \c to be an elliptic curve one gets some new elliptic analogues of the affine Hecke algebra. | |
| dc.description | LaTeX, 19 pages, hard copy available upon request | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9512017 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9512017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147181 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Residue construction of Hecke algebras | |
| dc.type | text |