Hopf-Galois structures on ambiskew polynomial rings
Quantum Algebra
2019-11-01 v1 Rings and Algebras
Abstract
We provide necessary and sufficient conditions to extend the Hopf-Galois algebra structure on an algebra R to a generalized ambiskew ring based on R, in a way such that the added variables for the extension are skew-primitive in an appropriate sense. We show that the associated Hopf algebra is again a a generalized ambiskew ring, based on a suitable Hopf algebra H(R). Several examples are examined, including the Hopf-Galois objects over Uq(sl2).
Keywords
Cite
@article{arxiv.1910.14363,
title = {Hopf-Galois structures on ambiskew polynomial rings},
author = {Julien Bichon and Agustín García Iglesias},
journal= {arXiv preprint arXiv:1910.14363},
year = {2019}
}