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Topological Hopf Algebras and Braided Monoidal Categories

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Abstract

The relation between a monoidal category which has an exact faithful monoidal functor to a category of finite rank projective modules over a Dedekind domain, and the category of continuous modules over a topological bialgebra is discussed. If the monoidal category is braided, the bialgebra is topologically quasitriangular. If the monoidal category is rigid monoidal, the bialgebra is a Hopf algebra.

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Authors and Affiliations

  1. Department of Mathematics, Statistics, and Computer Science M/C 249, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL, 60607-7045, U.S.A

    R. G. Larson

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  1. R. G. Larson
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Larson, R.G. Topological Hopf Algebras and Braided Monoidal Categories. Applied Categorical Structures 6, 139–150 (1998). https://doi.org/10.1023/A:1008662727726

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  • DOI: https://doi.org/10.1023/A:1008662727726

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