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Unramified representations of reductive groups over finite rings

Stasinski, Alexander (2009) Unramified representations of reductive groups over finite rings. Representation Theory, 13, 636-656. (doi:10.1090/S1088-4165-09-00350-1)

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Official URL: http://dx.doi.org/10.1090/S1088-4165-09-00350-1

Description/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
ISSN:1088-4165 (print)
Related URLs:http://dx.doi.org/10.1090/S108...09-00350-1
Subjects:Q Science > QA Mathematics
Divisions:University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID:69677
Deposited On:26 Nov 2009
Last Modified:07 Jan 2011 07:09

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