On pointed Hopf algebras associated to some conjugacy classes in 𝕊_{𝕟}

Abstract

We show that any pointed Hopf algebra with infinitesimal braiding associated to the conjugacy class of π ∈ S n \pi \in \mathbb {S}_n is infinite-dimensional, if either the order of π \pi is odd, or all cycles in the decomposition of π \pi as a product of disjoint cycles have odd order except for exactly two transpositions.