English

Twistings, crossed coproducts and Hopf-Galois coextensions

Quantum Algebra 2007-05-23 v1 Rings and Algebras

Abstract

Let HH be a Hopf algebra. Ju and Cai introduced the notion of twisting of an HH-module coalgebra. In this note, we study the relationship between twistings, crossed coproducts and Hopf-Galois coextensions. In particular, we show that a twisting of an HH-Galois coextension remains HH-Galois if the twisting is invertible.

Keywords

Cite

@article{arxiv.math/0210460,
  title  = {Twistings, crossed coproducts and Hopf-Galois coextensions},
  author = {S. Caenepeel and Dingguo Wang and Yanxin Wang},
  journal= {arXiv preprint arXiv:math/0210460},
  year   = {2007}
}

Comments

20 pages