Representations of SL over finite local rings of length two

Stasinski, Alexander

Abstract

Let Fqbe a finite field of characteristic pand let W2(Fq)be the ring of Witt vectors of length two over Fq. We prove that for any integer nsuch that pdivides n, the groups SLn(Fq[t]/t2)and SLn(W2(Fq)) have the same number of irreducible representations of dimension d, for each d

Citation

Stasinski, A. (2021). Representations of SL over finite local rings of length two. Journal of Algebra, 566, 119-135. https://doi.org/10.1016/j.jalgebra.2020.08.036

• Journal Article Type: Article
• Online Publication Date: Sep 15, 2020
• Publication Date: 2021-01
• Deposit Date: Oct 8, 2020
• Publicly Available Date: Sep 15, 2021
• Journal: Journal of Algebra
• Print ISSN: 0021-8693
• Electronic ISSN: 1090-266X
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 566
• Pages: 119-135
• DOI: https://doi.org/10.1016/j.jalgebra.2020.08.036
• Public URL: https://durham-repository.worktribe.com/output/1260606