Hopf algebras of GK-dimension two with vanishing Ext-group

Abstract

We construct and study a family of finitely generated Hopf algebra domains $H$ of Gelfand-Kirillov dimension two such that $\Ext^1_H(k,k)=0$. Consequently, we answer a question of Goodearl and the second-named author.

References in corpus (1)

• Existence of Hopf subalgebras of GK-dimension two

Cited by in corpus (1)

• Connected Hopf algebras of Gelfand-Kirillov dimension four