Unramified representations of reductive groups over finite rings
Unramified representations of reductive groups over finite rings
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
636-656
Stasinski, Alexander
94bd8be7-4b4f-4e22-875b-3628d8c2ca19
November 2009
Stasinski, Alexander
94bd8be7-4b4f-4e22-875b-3628d8c2ca19
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
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Published date: November 2009
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Local EPrints ID: 69677
URI: http://eprints.soton.ac.uk/id/eprint/69677
ISSN: 1088-4165
PURE UUID: ec2c6281-e92c-4839-930c-1d1761eefc41
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Date deposited: 26 Nov 2009
Last modified: 13 Mar 2024 19:40
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Author:
Alexander Stasinski
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