Gamma sheaves on reductive groups
| dc.creator | Braverman, Alexander | |
| dc.creator | Kazhdan, David | |
| dc.date | 2001-09-05 | |
| dc.date | 2002-04-01 | |
| dc.date.accessioned | 2026-07-07T04:43:16Z | |
| dc.date.available | 2026-07-07T04:43:16Z | |
| dc.description | The purpose of this paper is to introduce and study certain irreducible perverse l-adic sheaves on a reductive group G over a finite field (we call them gamma-sheaves). One can construct such a sheaf starting with (almost) every finite-dimensional representation of the Langlands dual group. We present conjecture connecting the above sheaves with generalized gamma-functions introduced in our previous paper. We also conjecture that the convolution functor with the above sheaves enjoys certain nice properties (in particular, we compute the convolution of a gamma-sheaf with a character sheaf). We prove the above conjectures for G of semi-simple rank 0 or 1 and (partially) for G=GL(n). | |
| dc.description | to appear in Schur memorial volume | |
| dc.identifier | https://arxiv.org/abs/math/0109033 | |
| dc.identifier | http://arxiv.org/abs/math/0109033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62148 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Gamma sheaves on reductive groups | |
| dc.type | text |