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 pi in S_n is infinite-dimensional, if either the order of pi is odd, or pi is a product of disjoint cycles of odd order except for exactly two transpositions.

10 pages. In the second version, the title is shortened and some minor mistakes are corrected. In the third version, Lemma 2.2 is improved. The fourth version, to appear in Proc. Amer. Math. Soc., contains a few remarks suggested by the referee

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