arXiv Analytics

Sign in

arXiv:0808.1351 [math.RT]AbstractReferencesReviewsResources

Unramified representations of reductive groups over finite rings

Alexander Stasinski

Published 2008-08-09, updated 2008-09-16Version 2

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.

Comments: 20 pages. Reformulation of Lemma 2.1. New proof of Lemma 2.2
Categories: math.RT, math.AG
Related articles: Most relevant | Search more
arXiv:0804.2041 [math.RT] (Published 2008-04-14)
Modular representations of reductive groups and geometry of affine Grassmannians
arXiv:1611.04796 [math.RT] (Published 2016-11-15)
The regular representations of $\mathrm{GL}_{N}$ over finite local principal ideal rings
arXiv:2106.11421 [math.RT] (Published 2021-06-21)
The stable representations of $\mathrm{GL}_{N}$ over finite local principal ideal rings

Links

Toolbox