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arXiv · 1108.5468

On the representations of disconnected reductive groups over F_q

G. Lusztig
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Abstract

Let \hat G be the semidirect product of a connected reductive group G over F_q with a finite cyclic group generated by a quasisemisimple automorphism of G defined over F_q. In this paper we prove a conjecture of G. Malle concerning the extensions of unipotent representations of G(F_q) to \hat G(F_q).

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G. Lusztig. 2011-08-27. On the representations of disconnected reductive groups over F_q. https://arxiv.org/abs/1108.5468

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