English

Hopf group-coalgebras

Quantum Algebra 2009-09-25 v1

Abstract

We study algebraic properties of Hopf group-coalgebras, recently introduced by Turaev. We show the existence of integrals and traces for such coalgebras, and we generalize the main properties of quasitriangular and ribbon Hopf algebras to the setting of Hopf group-coalgebras.

Keywords

Cite

@article{arxiv.math/0012073,
  title  = {Hopf group-coalgebras},
  author = {Alexis Virelizier},
  journal= {arXiv preprint arXiv:math/0012073},
  year   = {2009}
}

Comments

41 pages, Latex