Hopf group-coalgebras

Mathematics – Quantum Algebra

Scientific paper

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41 pages, Latex

Scientific paper

We study algebraic properties of Hopf group-coalgebras, recently introduced
by Turaev. We show the existence of integrals and traces for such coalgebras,
and we generalize the main properties of quasitriangular and ribbon Hopf
algebras to the setting of Hopf group-coalgebras.

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