Prime regular Hopf Algebras of GK-dimension One
arXiv:0807.4755 · doi:10.1112/plms/pdp060
Abstract
This paper constitutes the first part of a program to classify all affine prime regular Hopf algebras $H$ 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 $H$ is prime - our list contains all such algebras.
43 pages