Partial isomorphisms over finite fields

2013/03/18 by Méliot, Pierre-Loïc · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1303.4313

Abstract

In this paper, we construct a combinatorial algebra of partial isomorphisms that gives rise to a "projective limit" of the centers of the group algebras C[GL(n,Fq)]. It allows us to prove a GL(n,Fq)-analogue of an old theorem of Farahat and Higman regarding products of conjugacy classes of permutations.

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• Algebra of double cosets of a symmetric group by a smaller symmetric group

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