Prime regular Hopf Algebras of GK-dimension One

Details Prime regular Hopf Algebras of GK-dimension One Prime regular Hopf Algebras of GK-dimension One

2008-07-29

arxiv.org/abs/0807.4755v1

Mathematics

Rings and Algebras

43 pages

Scientific paper

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.

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