Cuspidal ℓ -modular representations of p-adic classical groups

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
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 17 Oct 2019 09:30
Last Modified: 14 Sep 2020 23:38
URI: https://ueaeprints.uea.ac.uk/id/eprint/72634
DOI: 10.1515/crelle-2019-0009

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