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arxiv: 1105.0033 · v1 · pith:P76SAQ5Rnew · submitted 2011-04-30 · 🧮 math.RA

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

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keywords hopfalgebraalgebrasanswerauthorconsequentlyconstructdimension
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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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