Abstract
We consider quasitriangular Hopf algebras in braided tensor categories introduced by Majid. It is known that a quasitriangular Hopf algebra H in a braided monoidal category C induces a braiding in a full monoidal subcategory of the category of H-modules in C. Within this subcategory, a braided version of the bosonization theorem with respect to the category C will be proved. An example of braided monoidal categories with quasitriangular structure deviating from the ordinary case of symmetric tensor categories of vector spaces is provided by certain braided supersymmetric tensor categories. Braided inhomogeneous quantum groups like the dilaton free q-Poincaré group are explicit applications.
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Supported in part by the Deutsche Forschungsgemeinschaft (DFG) through a research fellowship.
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Drabant, B. Braided bosonization and inhomogeneous quantum groups. Acta Appl Math 44, 117–132 (1996). https://doi.org/10.1007/BF00116518
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DOI: https://doi.org/10.1007/BF00116518