Connected Hopf algebras and iterated Ore extensions
Rings and Algebras
2014-08-06 v2
Abstract
We investigate when a skew polynomial extension T = R[x; {\sigma}, {\delta}] of a Hopf algebra R admits a Hopf algebra structure, substantially generalising a theorem of Panov. When this construction is applied iteratively in characteristic 0 one obtains a large family of connected noetherian Hopf algebras of finite Gelfand-Kirillov dimension, including for example all enveloping algebras of finite dimensional solvable Lie algebras and all coordinate rings of unipotent groups. The properties of these Hopf algebras are investigated.
Cite
@article{arxiv.1308.1998,
title = {Connected Hopf algebras and iterated Ore extensions},
author = {K. A. Brown and S. O'Hagan and J. J. Zhang and G. Zhuang},
journal= {arXiv preprint arXiv:1308.1998},
year = {2014}
}