R-matrices and Hopf algebra quotients
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algebrahopfconstructionquotientsapplyassociatedcanonicallycocommutative
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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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