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- W2950863071 abstract "Recently, there has been considerable progress in classifying the irreducible representations of Iwahori--Hecke algebras at roots of unity. Here, we present an application of these results to $ell$-modular Harish--Chandra series for a finite group of Lie type $G(q)$. Under some mild condition on $ell$, we show that the $ell$-modular principal series representations of $G(q)$ are naturally parametrized by a {em subset} of the set of complex irreducible characters of the Weyl group of $G(q)$. We also show that this subset is ``generic'' in a precise sense." @default.
- W2950863071 created "2019-06-27" @default.
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- W2950863071 date "2006-03-02" @default.
- W2950863071 modified "2023-09-27" @default.
- W2950863071 title "Modular principal series representations" @default.
- W2950863071 hasPublicationYear "2006" @default.
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