Involutory Hopf algebras

Authors:
D. S. Passman and Declan Quinn

Journal:
Trans. Amer. Math. Soc. **347** (1995), 2657-2668

MSC:
Primary 16W30

MathSciNet review:
1283560

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Abstract | References | Similar Articles | Additional Information

Abstract: In 1975, Kaplansky conjectured that a finite-dimensional semisimple Hopf algebra is necessarily involutory. Twelve years later, Larson and Radford proved the conjecture in characterisitic 0 and obtained significant partial results in positive characteristics. The goal of this paper is to offer an efficient proof of these results using rather minimal prerequisites, no "harpoons", and gratifyingly few "hits".

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DOI:
https://doi.org/10.1090/S0002-9947-1995-1283560-3

Article copyright:
© Copyright 1995
American Mathematical Society