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Hopf group-coalgebras
Authors:Alexis Virelizier
Institution:Institut de Recherche Mathématique Avancée, Université Louis Pasteur, CNRS, 7 rue René Descartes, F-67084 Strasbourg, Cedex, France
Abstract: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.
Keywords:16W30  16W50  81R50
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