English

Hom-quasi-bialgebras

Rings and Algebras 2012-09-06 v1 Quantum Algebra

Abstract

The purpose of this paper is to give a general survey of Hom-bialgebras, which are bialgebra-type structures where the identities are twisted by a morphism, and to extend the concept of quasi-bialgebra to Hom-setting. We provide some key constructions and generalize the concept of gauge transformation and Drinfeld's twists to this type of generalized quasi-bialgebras. Moreover, we provide an example of twisted quantum double.

Keywords

Cite

@article{arxiv.1209.0988,
  title  = {Hom-quasi-bialgebras},
  author = {Mohamed Elhamdadi and Abdenacer Makhlouf},
  journal= {arXiv preprint arXiv:1209.0988},
  year   = {2012}
}
R2 v1 2026-06-21T22:00:15.857Z