Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two

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dc.creatorGoodearl, K. R.
dc.creatorZhang, J. J.
dc.date2009-05-05
dc.date.accessioned2026-07-07T13:11:54Z
dc.date.available2026-07-07T13:11:54Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0905.0621
dc.identifierhttp://arxiv.org/abs/0905.0621
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229432
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16A39, 16K40, 16E10, 16W50
dc.titleNoetherian Hopf algebra domains of Gelfand-Kirillov dimension two
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