Publication details for Alexander StasinskiStasinski, Alexander (2009). Unramified representations of reductive groups over finite rings. Representation Theory 13: 636-656.
- Publication type: Journal Article
- ISSN/ISBN: 1088-4165
- DOI: 10.1090/S1088-4165-09-00350-1
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.