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Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories
September 23-28, 2002
Fields Institute
Toronto, ON, Canada

Organizers
George Janelidze, Georgian Academy of Sciences, Bodo Pareigis, University of Munich, Walter Tholen, York University

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Monoidal category theory applied to quasi-Hopf algebras
by
Peter Schauenburg
University of Munich, Germany

A quasi-Hopf algebra is by definition an algebra H whose modules (on either or both sides) form a monoidal category. The technical details of the definition are slightly involved, which makes the generalization of standard Hopf algebraic techniques an often unpleasant task necessitating lengthy and seemingly ad hoc calculations with unwieldy expressions. We discuss how in many instances a consistent use of monoidal category and actegory theory, particularly of ring and module theory within such categories, leads to more conceptual proofs.

Date received: June 3, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajf-36.