A commuting pair in Hopf Algebras

Author:
Yongchang Zhu

Journal:
Proc. Amer. Math. Soc. **125** (1997), 2847-2851

MSC (1991):
Primary 16W30

MathSciNet review:
1402892

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that if is a semisimple Hopf algebra, then the action of the Drinfeld double on and the action of the character algebra on form a commuting pair. This result and a result of G. I. Kats imply that the dimension of every simple -submodule of is a divisor of .

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Additional Information

**Yongchang Zhu**

Affiliation:
Department of Mathematics, Hong Kong University of Science & Technology, Clear Water Bay, Hong Kong

DOI:
https://doi.org/10.1090/S0002-9939-97-03988-9

Received by editor(s):
December 6, 1995

Received by editor(s) in revised form:
April 30, 1996

Communicated by:
Ken Goodearl

Article copyright:
© Copyright 1997
American Mathematical Society