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ToolsSécherre, Vincent and Stevens, Shaun (2012) Smooth representations of GLm(D) VI: Semisimple types. International Mathematics Research Notices, 2012 (13). pp. 2994-3039. ISSN 1073-7928
Full text not available from this repository.Abstract
We give a complete description of the category of smooth complex representations of the multiplicative group of a central simple algebra over a locally compact nonarchimedean local field. More precisely, for each inertial class in the Bernstein spectrum, we construct a type and compute its Hecke algebra. The Hecke algebras that arise are all naturally isomorphic to products of affine Hecke algebras of type A. We also prove that, for cuspidal classes, the simple type is unique up to conjugacy.
| Item Type: | Article |
|---|---|
| Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
| UEA Research Groups: | Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Number Theory (former - to 2017) Faculty of Science > Research Groups > Algebra, Logic & Number Theory |
| Depositing User: | Users 2731 not found. |
| Date Deposited: | 20 Oct 2011 10:31 |
| Last Modified: | 07 Nov 2024 12:32 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/35101 |
| DOI: | 10.1093/imrn/rnr122 |
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