Stasinski, Alexander (2009) 'Unramified representations of reductive groups over finite rings.', Representation theory., 13 . pp. 636-656.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (212Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1090/S1088-4165-09-00350-1 |
| Publisher statement: | © 2009 American Mathematical Society. Reverts to public domain 28 years from publication. First published in Representation Theory in 13 (2009), 636-656, published by the American Mathematical Society. |
| Date accepted: | No date available |
| Date deposited: | 06 May 2014 |
| Date of first online publication: | November 2009 |
| Date first made open access: | No date available |
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