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R-matrices and Hopf algebra quotients

Sonia Natale

math.QAarXiv:math/0605731

Abstract

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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