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On pointed Hopf algebras associated to some conjugacy classes in 
Author(s):
Nicolás
Andruskiewitsch;
Shouchuan
Zhang
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2723-2731.
MSC (2000):
Primary 16W30
Posted:
February 16, 2007
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Abstract:
We show that any pointed Hopf algebra with infinitesimal braiding associated to the conjugacy class of  is infinite-dimensional, if either the order of  is odd, or all cycles in the decomposition of  as a product of disjoint cycles have odd order except for exactly two transpositions.
References:
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Additional Information:
Nicolás
Andruskiewitsch
Affiliation:
FaMAF, Universidad Nacional de Córdoba. CIEM -- CONICET, (5000) Ciudad Universitaria, Córdoba, Argentina
Email:
andrus@mate.uncor.edu
Shouchuan
Zhang
Affiliation:
Department of Mathematics, Hunan University, Changsha 410082, People's Republic of China
Email:
z9491@yahoo.com.cn
DOI:
10.1090/S0002-9939-07-08880-6
PII:
S 0002-9939(07)08880-6
Received by editor(s):
November 1, 2005
Received by editor(s) in revised form:
May 25, 2006
Posted:
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
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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