Hokkaido Mathematical Journal

OHMORI Joujuu,

Rationality of certain cuspidal unipotent representations in crystalline cohomology groups.

Hokkaido Mathematical Journal, 35 (2006) pp.547-563

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Abstract

We complete the determination of the local Schur indices of each unipotent representation of the group $G(\mathbb F_q)$ of $\mathbb F_q$-rational points of a simple algebraic group $G$ defined over a finite field $\mathbb F_q$.

MSC(Primary)20G40
MSC(Secondary)20G05, 14F20, 14F30, 20C33, 20C11, 12E20, 12E15, 12E30, 14F42, 20C05, 16G10
Uncontrolled Keywordsunipotent representations, Schur indices, crystalline cohomology groups