Transmutation theory of a coquasitriangular weak Hopf algebra

Guohua LIU; Quanguo CHEN; Haixing ZHU

doi:10.1007/s11464-011-0149-2

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Front. Math. China ›› 2011, Vol. 6 ›› Issue (5) : 855-869. DOI: 10.1007/s11464-011-0149-2

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Transmutation theory of a coquasitriangular weak Hopf algebra

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Abstract

Let H be a coquasitriangular quantum groupoid. In this paper, using a suitable idempotent element e in H, we prove that eH is a braided group (or a braided Hopf algebra in the category of right H-comodules), which generalizes Majid’s transmutation theory from a coquasitriangular Hopf algebra to a coquasitriangular weak Hopf algebra.

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Quantum groupoid / weak Hopf algebra / braided group / braided Hopf algebra

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Guohua LIU, Quanguo CHEN, Haixing ZHU. Transmutation theory of a coquasitriangular weak Hopf algebra. Front Math Chin, 2011, 6(5): 855‒869 https://doi.org/10.1007/s11464-011-0149-2

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