Cuspidal ℓ-modular representations of p-adic classical groups
2020 ◽
Vol 2020
(764)
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pp. 23-69
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Keyword(s):
AbstractFor 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.
2017 ◽
Vol 16
(01)
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pp. 1750012
2014 ◽
Vol 35
(7)
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pp. 2242-2268
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2014 ◽
Vol 22
(2)
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pp. 51-56
1962 ◽
Vol 14
◽
pp. 293-303
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1983 ◽
Vol 93
(3)
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pp. 477-484
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2019 ◽
pp. 1-51
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2011 ◽
Vol 90
(3)
◽
pp. 403-430
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2010 ◽
Vol 09
(01)
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pp. 11-15
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Keyword(s):