Fischer Matrices for Generalised Symmetric Groups—A Combinatorial Approach
Source: Advances in Mathematics, Volume 168, Number 1, June 2002 , pp. 29-55(27)
Publisher: Academic Press
Abstract:The 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.© 2002 Elsevier Science (USA).
Document Type: Research Article
Affiliations: 1: Department of Mathematics, King Abdul Aziz University, Jeddah, 21472, Saudi Arabia 2: Department of Mathematics, University of Wales, Aberystwyth, Ceredigion, Wales, SY23 3BZ, United Kingdom
Publication date: June 2002