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Unramified representations of reductive groups over finite rings

By Alexander Stasinski

Abstract

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 ring

Topics: QA
Year: 2009
OAI identifier: oai:eprints.soton.ac.uk:69677
Provided by: e-Prints Soton

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