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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Involutory Hopf algebras
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by D. S. Passman and Declan Quinn PDF
Trans. Amer. Math. Soc. 347 (1995), 2657-2668 Request permission

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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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 2657-2668
  • MSC: Primary 16W30
  • DOI: https://doi.org/10.1090/S0002-9947-1995-1283560-3
  • MathSciNet review: 1283560