Generalized Hopf-Ore extensions
Rings and Algebras
2018-01-03 v2
Abstract
We derive necessary and sufficient conditions for an Ore extension of a Hopf algebra to have a Hopf algebra structure of a certain type. This construction generalizes the notion of Hopf-Ore extension, called a generalized Hopf-Ore extension. We describe the generalized Hopf-Ore extensions of the enveloping algebras of Lie algebras. For some Lie algebras g, the generalized Hopf-Ore extensions of U(g) are classified.
Cite
@article{arxiv.1312.0178,
title = {Generalized Hopf-Ore extensions},
author = {Lan You and Zhen Wang and Huixiang Chen},
journal= {arXiv preprint arXiv:1312.0178},
year = {2018}
}
Comments
21pages,Revised argument in section 2