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arXiv · 1606.04177

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

K. R. Goodearl·J. J. Zhang
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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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K. R. Goodearl, J. J. Zhang. 2016-06-13. Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two. https://arxiv.org/abs/1606.04177

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