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arxiv: 1410.7497 · v2 · pith:BL32LVRKnew · submitted 2014-10-28 · 🧮 math.RA · math.QA

Classification of affine prime regular Hopf algebras of GK-dimension one

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keywords algebrasgk-dimensionhopfprimeregularaffineclassificationanswer
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The classification of affine prime regular Hopf algebras of GK-dimension one is completed. As consequences, 1) we give a negative answer to an open question posed by Brown-Zhang and 2) we show that there do exist prime regular Hopf algebras of GK-dimension one which are not pointed.

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