Burnside's theorem for hopf algebras

D. S. Passman, Declan Quinn

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


A classical theorem of Burnside asserts that if % is a faithful complex character for the finite group G, then every irreducible character of G is a constituent of some power xx of X Fifty years after this appeared, Steinberg generalized it to a result on semigroup algebras K[G] with K an arbitrary field and with G a semigroup, finite or infinite. Five years later, Rieffel showed that the theorem really concerns bialgebras and Hopf algebras. In this note, we simplify and amplify the latter work.

Original languageEnglish (US)
Pages (from-to)327-333
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number2
StatePublished - Feb 1995

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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