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- W4300791241 abstract "We prove part of a higher rank analogue of the Mazur-Gouvea Conjecture. More precisely, let $tilde{bf G}$ be a connected, reductive ${Bbb Q}$-split group and let $Gamma$ be an arithmetic subgroup of $tilde{bf G}$. We show that the dimension of the slope $alpha$ subspace of the cohomology of $Gamma$ with values in an irreducible $tilde{bf G}$-module $L$ is bounded independently of $L$. The proof is elementary making only use of general principles of the representation theory of algebraic groups; it is based on consideration of certain truncations of irreducible representations of Chevalley groups." @default.
- W4300791241 created "2022-10-04" @default.
- W4300791241 creator A5056620448 @default.
- W4300791241 date "2011-07-18" @default.
- W4300791241 modified "2023-10-18" @default.
- W4300791241 title "On Truncation of irreducible representations of Chevalley groups" @default.
- W4300791241 doi "https://doi.org/10.48550/arxiv.1107.3549" @default.
- W4300791241 hasPublicationYear "2011" @default.
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