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Regular ArticleFischer Matrices for Generalised Symmetric Groups—A Combinatorial Approach☆

Mohammed Almestady - No affiliation found

2002/06/01 Full-length article DOI: 10.1006/aima.2001.2043 Journal: Advances in Mathematics

Abstract:

AbstractThe main aim of this article is to give a combinatorial method for computing the Fischer matrices of the generalised symmetric group. It is shown that generalised Young tableaux and tabloids play a crucial role in the calculation of the Fischer matrices. In particular, a recursive method which is similar to the Murnaghan–Nakayama formula involved in the calculation of irreducible characters of the symmetric group is proved.