Hit-invariants and commutators for Hopf algebras

Miriam Cohen, Sara Westreich

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We continue studying normal left coideal subalgebras of a Hopf algebra H, realizing them as invariants of H under the left hit action of Hopf subalgebras of H*. We apply this realization to test an equivalence relation on irreducible characters for two important examples. The commutator sublagebra of H, which is the analogue of the commutator subgroup of a group and the image of the Drinfeld map for quasitriangular Hopf algebras. We end with the example H = D(kS3) where commutators are computed.

Original languageEnglish
Pages (from-to)299-313
Number of pages15
JournalBulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Issue number3
StatePublished - 2013


  • Commutator algebra
  • Commutators
  • Drinfeld map
  • Left kernels
  • Normal left coideal subalgebras


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