Hopf group-coalgebras
classification
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hopfgroup-coalgebraspropertiesalgebraicalgebrascoalgebrasexistencegeneralize
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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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