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Tannaka-Krein duality for Hopf algebroids

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Abstract

We show that a Hopf algebroid can be reconstructed from a monoidal functor from a monoidal category into the category of rigid bimodules over a ring. We study the equivalence between the original category and the category of comodules over the reconstructed Hopf algebroid.

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Authors and Affiliations

  1. Institute of Mathematics, 18 Hoang Quoc Viet, 10307, Hanoi, Vietnam

    Phùng Hô Hai

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  1. Phùng Hô Hai
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Correspondence to Phùng Hô Hai.

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Hai, P.H. Tannaka-Krein duality for Hopf algebroids. Isr. J. Math. 167, 193–225 (2008). https://doi.org/10.1007/s11856-008-1047-5

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  • DOI: https://doi.org/10.1007/s11856-008-1047-5

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