Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two
classification
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keywords
dimensiondomainsgelfand-kirillovhopfnon-affineaffinealgebraalgebraically
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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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