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

Published 13 Jun 2016 in math.RA | (1606.04177v1)

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 $\text{Ext}^1_H(k, k) \neq 0$. The affine ones were classified by the authors in 2010.

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