Unramified representations of reductive groups over finite rings

Stasinski, Alexander

doi:10.1090/S1088-4165-09-00350-1

Unramified representations of reductive groups over finite rings

Author: Alexander Stasinski
Journal: Represent. Theory 13 (2009), 636-656
MSC (2000): Primary 20G99; Secondary 14L15
DOI: https://doi.org/10.1090/S1088-4165-09-00350-1
Published electronically: November 9, 2009
MathSciNet review: 2558788
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Abstract: Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic , 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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