R-matrices and Hopf algebra quotients

Mathematics – Quantum Algebra

Scientific paper

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21 pages, amslatex

Scientific paper

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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