Prime regular Hopf algebras of GK‐dimension one

By Kenneth A. Brown, James J. Zhang. 2008

51 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/812f4b87451d465a48f3be3d207e3721086fd7de

How researchers see this paper

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In Algebra and Number Theory

1. James J. Zhang
2. K. Goodearl
3. Kenneth A. Brown
4. G. Abrams
5. Kulumani M. Rangaswamy
6. U. Krähmer
7. Amnon Yekutieli
8. P. Ara

In Geometry and Topology

1. James J. Zhang
2. K. Goodearl
3. Kenneth A. Brown
4. Amnon Yekutieli
5. U. Krähmer
6. D. Rogalski
7. Masaki Kashiwara

Citations in the corpus

• Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two (2009, methodology): “Some interesting examples were also discovered in [10].”