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

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

2011-04-30

arxiv.org/abs/1105.0033v1

Mathematics

Rings and Algebras

Scientific paper

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.

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