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

Andruskiewitsch, Nicolás; Zhang, Shouchuan

doi:10.1090/S0002-9939-07-08880-6

On pointed Hopf algebras associated to some conjugacy classes in $\mathbb {S}_n$
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by Nicolás Andruskiewitsch and Shouchuan Zhang

Proc. Amer. Math. Soc. 135 (2007), 2723-2731

DOI: https://doi.org/10.1090/S0002-9939-07-08880-6

Published electronically: February 16, 2007

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Abstract:

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

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