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

Published 30 Apr 2011 in math.RA | (1105.0033v1)

Abstract: We construct and study a family of finitely generated Hopf algebra domains $H$ of Gelfand-Kirillov dimension two such that $\Ext1_H(k,k)=0$. Consequently, we answer a question of Goodearl and the second-named author.

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