Kurinczuk, Rob and Stevens, Shaun (2020) Cuspidal ℓ -modular representations of p-adic classical groups. Journal für die reine und angewandte Mathematik (Crelles Journal), 2020 (764). 23–69. ISSN 0075-4102
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Abstract
For a classical group over a non-archimedean local field of odd residual characteristic p, we construct all cuspidal representations over an arbitrary algebraically closed field of characteristic different from p, as representations induced from a cuspidal type. We also give a fundamental step towards the classification of cuspidal representations, identifying when certain cuspidal types induce to equivalent representations; this result is new even in the case of complex representations. Finally, we prove that the representations induced from more general types are quasi-projective, a crucial tool for extending the results here to arbitrary irreducible representations.
Item Type: | Article |
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Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
UEA Research Groups: | Faculty of Science > Research Groups > Number Theory (former - to 2017) Faculty of Science > Research Groups > Algebra and Combinatorics |
Related URLs: | |
Depositing User: | LivePure Connector |
Date Deposited: | 17 Oct 2019 09:30 |
Last Modified: | 09 Oct 2024 00:13 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/72634 |
DOI: | 10.1515/crelle-2019-0009 |
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