Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two
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 Ext1H(k, k) ≠ 0. The affine ones were classified by the authors in 2010.
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