Hook fusion procedure for hyper-octahedral groups

2025/03/20 by KM, Dimpi, Thangavelu, Geetha
#05E10 #16D40 #20C30 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2503.15981

Abstract

We derive a new expression for the diagonal matrix elements of irreducible representations of the hyperoctahedral group. This expression is obtained using Grime's hook fusion procedure for symmetric groups, which minimizes the number of auxiliary parameters required in the fusion process.

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• Stability of Restrictions of Representations of the Symmetric Group to the Hyperoctahedral Subgroup