Prime regular Hopf Algebras of GK-dimension One
Rings and Algebras
2014-02-26 v1 Quantum Algebra
Abstract
This paper constitutes the first part of a program to classify all affine prime regular Hopf algebras of Gelfand-Kirillov dimension one over an algebraically closed field of characteristic zero. We prove a number of properties of such an algebra, list some classes of examples, and then prove that - when the PI-degree of is prime - our list contains all such algebras.
Cite
@article{arxiv.0807.4755,
title = {Prime regular Hopf Algebras of GK-dimension One},
author = {K. A. Brown and J. J. Zhang},
journal= {arXiv preprint arXiv:0807.4755},
year = {2014}
}
Comments
43 pages