English

Twisted partial actions of Hopf algebras

Rings and Algebras 2015-11-12 v1 Quantum Algebra

Abstract

In this work, the notion of a twisted partial Hopf action is introduced as a unified approach for twisted partial group actions, partial Hopf actions and twisted actions of Hopf algebras. The conditions on partial cocycles are established in order to construct partial crossed products, which are also related to partially cleft extensions of algebras. Examples are elaborated using algebraic groups.

Keywords

Cite

@article{arxiv.1111.1281,
  title  = {Twisted partial actions of Hopf algebras},
  author = {Marcelo Muniz S. Alves and Eliezer Batista and Michael Dokuchaev and Antonio Paques},
  journal= {arXiv preprint arXiv:1111.1281},
  year   = {2015}
}