Brown, K. A. and Zhang, J. J. (2010) Prime regular Hopf algebras of GK-dimension one. Proceedings of the London Mathematical Society, 101(1), pp. 260-302. (doi: 10.1112/plms/pdp060)
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Publisher's URL: http://dx.doi.org/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.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Brown, Professor Ken |
Authors: | Brown, K. A., and Zhang, J. J. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Proceedings of the London Mathematical Society |
ISSN: | 0024-6115 |
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