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arXiv · 0905.0621

Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two

K. R. Goodearl·J. J. Zhang
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Abstract

We classify all noetherian Hopf algebras $H$ over an algebraically closed field $k$ of characteristic zero which are integral domains of Gelfand-Kirillov dimension two and satisfy the condition $\Ext^1_H(k,k)\neq 0$. The latter condition is conjecturally redundant, as no examples are known (among noetherian Hopf algebra domains of GK-dimension two) where it fails.

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K. R. Goodearl, J. J. Zhang. 2009-05-05. Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two. https://arxiv.org/abs/0905.0621

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