Unramified representations of reductive groups over finite rings

Stasinski, Alexander

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 rings.

Citation

Stasinski, A. (2009). Unramified representations of reductive groups over finite rings. Representation Theory, 13, 636-656. https://doi.org/10.1090/s1088-4165-09-00350-1

• Journal Article Type: Article
• Publication Date: Nov 9, 2009
• Deposit Date: Mar 13, 2012
• Publicly Available Date: May 6, 2014
• Journal: Representation Theory
• Electronic ISSN: 1088-4165
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 13
• Pages: 636-656
• DOI: https://doi.org/10.1090/s1088-4165-09-00350-1
• Public URL: https://durham-repository.worktribe.com/output/1480015