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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some properties of factorizable Hopf algebras


Author: H.-J. Schneider
Journal: Proc. Amer. Math. Soc. 129 (2001), 1891-1898
MSC (1991): Primary 16W30; Secondary 16G10
Published electronically: January 23, 2001
MathSciNet review: 1825894
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Abstract:

A direct proof without modular category theory is given of a recent theorem of Etingof and Gelaki (1998) on the dimensions of irreducible representations. Factorizable Hopf algebras are characterized in terms of their Drinfeld double, and their character rings and the group-like elements of their duals are described.


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Additional Information

H.-J. Schneider
Affiliation: Mathematisches Institut, Universität München, Theresienstraße 39, D-80333 München, Germany
Email: hanssch@rz.mathematik.uni-muenchen.de

DOI: http://dx.doi.org/10.1090/S0002-9939-01-05787-2
PII: S 0002-9939(01)05787-2
Keywords: Factorizable Hopf algebras, irreducible representations, Drinfeld double
Received by editor(s): May 20, 1999
Received by editor(s) in revised form: October 22, 1999
Published electronically: January 23, 2001
Communicated by: Ken Goodearl
Article copyright: © Copyright 2001 American Mathematical Society