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Fischer Matrices for Generalised Symmetric Groups—A Combinatorial Approach

✍ Scribed by Mohammed Almestady; Alun O. Morris

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
208 KB
Volume
168
Category
Article
ISSN
0001-8708

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✦ Synopsis

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.

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