On pointed Hopf algebras associated to unmixed conjugacy classes in Sn

Abstract

Let s in Sn be a product of disjoint cycles of the same length, C the conjugacy class of s and rho an irreducible representation of the isotropy group of s. We prove that either the Nichols algebra B(C, rho) is infinite-dimensional, or the braiding of the Yetter-Drinfeld module is negative.

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