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On pointed Hopf algebras associated to some conjugacy classes in $ \mathbb{S}_n$

Authors: Nicolás Andruskiewitsch and Shouchuan Zhang
Journal: Proc. Amer. Math. Soc. 135 (2007), 2723-2731
MSC (2000): Primary 16W30
Published electronically: February 16, 2007
MathSciNet review: 2317945
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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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Additional Information

Nicolás Andruskiewitsch
Affiliation: FaMAF, Universidad Nacional de Córdoba. CIEM – CONICET, (5000) Ciudad Universitaria, Córdoba, Argentina

Shouchuan Zhang
Affiliation: Department of Mathematics, Hunan University, Changsha 410082, People’s Republic of China

Received by editor(s): November 1, 2005
Received by editor(s) in revised form: May 25, 2006
Published electronically: February 16, 2007
Additional Notes: The work of the first author was partially supported by CONICET, Fund. Antorchas, Agencia Córdoba Ciencia, TWAS (Trieste), ANPCyT and Secyt (UNC). Results of this paper were obtained during a visit of the first author to the Hunan University, Changsha (China)
Communicated by: Martin Lorenz
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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