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International Mathematics Research Notices (2006) Vol. 2006 : article ID 47182, 18 pages, doi:10.1155/IMRN/2006/47182
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Copyright © 2006 Hindawi Publishing Corporation. All rights reserved.

R-matrices and Hopf algebra quotients

Sonia Natale

Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, CIEM-CONICET Ciudad Universitaria 5000, Córdoba, Argentina E-mail address: natale{at}mate.uncor.edu

We study a natural construction of Hopf algebra quotients canonically associated to an R-matrix in a finite-dimensional Hopf algebra. We apply this construction to show that a quasitriangular Hopf algebra whose dimension is odd and square-free is necessarily cocommutative.


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