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On quiver-theoretic description for quasitriangularity of Hopf algebras. - MaRDI portal

On quiver-theoretic description for quasitriangularity of Hopf algebras. (Q975092)

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On quiver-theoretic description for quasitriangularity of Hopf algebras.
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    On quiver-theoretic description for quasitriangularity of Hopf algebras. (English)
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    8 June 2010
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    The authors give the classification of co-quasitriangular finite-dimensional pointed Hopf algebras over an algebraically closed field of characteristic 0. The crucial step is to show that the coradically graded Hopf algebra attached to such algebra is a tensor product of a cotriangular Hopf algebra and a group algebra.
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    coquasitriangular Hopf algebras
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    quasitriangularity
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    Hopf quivers
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    path coalgebras
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    graded Hopf algebras
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    pointed Hopf algebras
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    tensor products
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