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Unramified representations of reductive groups over finite rings

Stasinski, Alexander

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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 Mar 29, 2024
Journal Representation Theory
Publisher American Mathematical Society
Peer Reviewed Peer Reviewed
Volume 13
Pages 636-656
DOI https://doi.org/10.1090/s1088-4165-09-00350-1

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Copyright 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.




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