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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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Formal representation theory
by
Ross Street
Mathematics Department, Macquarie University
Coauthors: Brian Day, Paddy McCrudden

Compact monoidal bicategories provide a framework in which Hopf algebras and their categories of representations exist as the same kind of algebraic structure: pseudomonoids with dualizations. There is a rich calculus of such structure based on, but going beyond, the formal theory of adjunctions and monads in a bicategory. This serves as an organizational setting for various results on quantum groups that had seemed only loosely analogous.

Date received: June 6, 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-40.