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Braided bosonization and inhomogeneous quantum groups

โœ Scribed by Bernhard Drabant

Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
731 KB
Volume
44
Category
Article
ISSN
0167-8019

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โœฆ Synopsis

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 K-vector spaces is provided by certain braided supersymmetric tensor categories. Braided inhomogeneous quantum groups like the dilaton free q-Poincar6 group are explicit applications.

Mathematics Subject Classifications (1991). 17B37, 18D10.

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