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Representations of SL over finite local rings of length two.

Stasinski, Alexander (2021) 'Representations of SL over finite local rings of length two.', Journal of algebra., 566 . pp. 119-135.

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

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1016/j.jalgebra.2020.08.036
Publisher statement:© 2020 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Date accepted:No date available
Date deposited:08 October 2020
Date of first online publication:15 September 2020
Date first made open access:15 September 2021

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