Weak Hopf algebras and the distribution of involutions in symmetric groups

2016/12/17 by Hayashi, Takahiro
#05A05 #16T05 #16T30 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1612.05731

Abstract

By computing Frobenius-Schur indicators of modules of certain weak Hopf algebras, we give a formula for the number of involutions in symmetric groups, which are contained in a given coset with respect to a given Young subgroup.

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