Involutory hopf algebras

D. S. Passman, Declan P Quinn

Research output: Contribution to journalArticle

2 Scopus citations


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".

Original languageEnglish (US)
Pages (from-to)2657-2668
Number of pages12
JournalTransactions of the American Mathematical Society
Issue number7
StatePublished - 1995


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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