On hopf algebras and rigid monoidal categories |
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| Authors: | K.-H. Ulbrich |
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| Affiliation: | (1) Institute of Mathematics, University of Tsukuba, Tsukuba-shi, 305 Ibaraki, Japan;(2) Present address: Département de Mathématiques, Université Paris-Nord, Villetaneuse, France |
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| Abstract: | LetC be a neutral Tannakian category over a fieldk. By a theorem of Saavedra Rivano there exists a commutative Hopf algebraA overk such thatC is equivalent to the category of finite dimensional rightA-comodules. We review Saavedra Rivano’s construction of the bialgebraA and show thatA has still an antipode if the symmetry condition on the monoidal structure ofC is removed. Supported by a grant from JSPS. |
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