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Durham University

Department of Mathematical Sciences

Staff

Publication details

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

Author(s) from Durham

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