Unramified representations of reductive groups over finite rings
Representation Theory
2008-09-16 v2 Algebraic Geometry
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.
Cite
@article{arxiv.0808.1351,
title = {Unramified representations of reductive groups over finite rings},
author = {Alexander Stasinski},
journal= {arXiv preprint arXiv:0808.1351},
year = {2008}
}
Comments
20 pages. Reformulation of Lemma 2.1. New proof of Lemma 2.2