Hit-invariants and commutators for Hopf algebras

Miriam Cohen, Sara Westreich

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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
Volume56
Issue number3
StatePublished - 29 Oct 2013

Keywords

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

Fingerprint

Dive into the research topics of 'Hit-invariants and commutators for Hopf algebras'. Together they form a unique fingerprint.

Cite this