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Representations of SL over finite local rings of length two

Stasinski, Alexander

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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
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 566
Pages 119-135
DOI https://doi.org/10.1016/j.jalgebra.2020.08.036

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