Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two

By K. Goodearl, James J. Zhang. 2009

56 citations recorded by the source corpus.

We classify all noetherian Hopf algebras $H$ over an algebraically closed field $k$ of characteristic zero which are integral domains of Gelfand-Kirillov dimension two and satisfy the condition $\Ext^1_H(k,k)\neq 0$. The latter condition is conjecturally redundant, as no examples are known (among noetherian Hopf algebra domains of GK-dimension two) where it fails.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d2f8895eff9c2616632aa7b2a00e006346407901

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

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

In Geometry and Topology

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

In Statistical and Nonlinear Physics

1. James J. Zhang
2. Kenneth A. Brown
3. U. Krähmer

Citations in the corpus

• Prime regular Hopf algebras of GK‐dimension one (2008, background): “for i = 1, � � � , s. It was checked in [ GZ , Construction 1.2] that this is a Hopf PI domain of GK-dimension two, and is denoted by B(n, p0, p1, � � � , ps, q).”