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Partial isomorphisms over finite fields

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arxiv 1303.4313 v2 pith:UW5RMVWX submitted 2013-03-18 math.CO

Pierre-Loïc Méliot This is my paper · ORCID
classification math.CO
keywords isomorphismspartialalgebraalgebrasallowsanaloguecentersclasses
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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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Cited by 1 Pith paper

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  1. Stability of the centers of group algebras of general affine groups $GA_n(q)$

    math.RT 2025-06 conditional novelty 6.0 of 10

    The graded center of Z[GA_n(q)] has n-independent structure constants at maximal reflection length, yielding a universal stable center G(q).

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