Hook fusion procedure for direct product of symmetric groups

2025/04/02 by KM, Dimpi, Thangavelu, Geetha
#05E10 #16D40 #20C30 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2504.01417

Abstract

In this work, we derive a new expression for the diagonal matrix elements of irreducible representations of the direct product group S_r× S_s using Grime's hook fusion procedure for symmetric groups, which simplifies the fusion procedure by reducing the number of auxiliary parameters needed. By extending this approach to the product group setting, we provide a method for constructing a complete set of orthogonal primitive idempotents.

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