Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two

Abstract

We classify all non-affine Hopf algebras $H$ over an algebraically closed field $k$ of characteristic zero that are integral domains of Gelfand-Kirillov dimension two and satisfy the condition ${\text{Ext}}_H^1(k,k)\ne 0$. The affine ones were classified by the authors in 2010.

References in corpus (1)

• Primitive Cohomology of Hopf algebras