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A Duality for Modules over Monoidal Categories of Representations of Semisimple Hopf Algebras

✍ Scribed by D Tambara

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 285 KB
Volume: 241
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8771

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✦ Synopsis

For a finite dimensional semisimple cosemisimple Hopf algebra A and its dual Hopf algebra B, we set up a natural one-to-one correspondence between categories with actions of the monoidal categories of representations of A and of B. This gives a categorical interpretation of the duality for actions of Hopf algebras on algebras.

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