Unramified representations of reductive groups over finite rings

Details Unramified representations of reductive groups over finite rings Unramified representations of reductive groups over finite rings

2008-08-09

arxiv.org/abs/0808.1351v2

Mathematics

Representation Theory

20 pages. Reformulation of Lemma 2.1. New proof of Lemma 2.2

Scientific paper

Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic p, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields. We generalize Lusztig's results to reductive groups over arbitrary finite local rings. This generalization uses the Greenberg functor and the theory of group schemes over Artinian local rings.

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