The theorem for semisimple Hopf algebras

Author:
Akira Masuoka

Journal:
Proc. Amer. Math. Soc. **124** (1996), 735-737

MSC (1991):
Primary 16W30

DOI:
https://doi.org/10.1090/S0002-9939-96-03147-4

MathSciNet review:
1301036

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Abstract: We give an algebraic version of a result of G. I. Kac, showing that a semisimple Hopf algebra of dimension , where is a prime and , over an algebraically closed field of characteristic 0 contains a non-trivial central group-like. As an application we prove that, if , is isomorphic to a group algebra.

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DOI:
https://doi.org/10.1090/S0002-9939-96-03147-4

Received by editor(s):
April 18, 1994

Received by editor(s) in revised form:
September 29, 1994

Communicated by:
Ken Goodearl

Article copyright:
© Copyright 1996
American Mathematical Society