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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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Radford-Majid bosonization via Schauenburg equivalence
by
Mitsuhiro Takeuchi
Institute of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan

Radford-Majid bosonization plays an important role in quantum group theory with fruitful applications in classification of pointed Hopf algebras. Its elementary realization will be derived by using Schauenburg's equivalence between Yetter-Drinfeld modules and Hopf bimodules. The relation with twists by 2-cocycles (due to Doi) will be discussed. As an application, an elementary approach to the symmetrization lemma (due to Andruskiewitsch and Schneider) of Nichols algebras of Cartan type will be given.

Date received: June 27, 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-42.