Gamma-functions of representations and lifting
| dc.creator | Braverman, Alexander | |
| dc.creator | Kazhdan, David | |
| dc.creator | Vologodsky, V. | |
| dc.date | 1999-12-27 | |
| dc.date | 2000-04-28 | |
| dc.date.accessioned | 2026-07-07T05:32:29Z | |
| dc.date.available | 2026-07-07T05:32:29Z | |
| dc.description | Let G be the group of points of a quasi-split reductive algebraic group over a local field F. It follows from the local Langlands conjectures that to every non-trivial additive character of F and every representation of the Langlands dual group of F one can associate certain meromorphic function on the set of isomorphism classed of irreducible representations of G (which we call gamma-functions). In this paper we describe a general framework for an explicit construction of these gamma-functions. We make this idea precise in certain special cases. As a byproduct we give explicit conjectural formulas for the representation $l_E(θ)$ of the group GL(n,F) associated to a character $θ$ of the multiplicative group $E^*$ of a separable extension E of F of degree n. We also describe a conjectural analogue of the Poisson summation formula associated to a representation of the Langlands dual group, which implies the existence of the meromorphic continuation and functional equation for the corresponding automorphic L-functions. | |
| dc.description | Main text by Alexander Braverman and David Kazhdan with an appendix by V. Vologodsky. Several minor mistakes corrected | |
| dc.identifier | https://arxiv.org/abs/math/9912208 | |
| dc.identifier | http://arxiv.org/abs/math/9912208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79676 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.title | Gamma-functions of representations and lifting | |
| dc.type | text |