Partial isomorphisms over finite fields
Combinatorics
2013-09-17 v2
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.
Cite
@article{arxiv.1303.4313,
title = {Partial isomorphisms over finite fields},
author = {Pierre-Loïc Méliot},
journal= {arXiv preprint arXiv:1303.4313},
year = {2013}
}
Comments
Version 2: numerous small corrections, two tables of notations to help the reader keep track of everything