Homological properties of quantized coordinate rings of semisimple groups

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dc.creatorGoodearl, K. R.
dc.creatorZhang, J. J.
dc.date2005-10-19
dc.date.accessioned2026-07-07T06:47:41Z
dc.date.available2026-07-07T06:47:41Z
dc.descriptionWe prove that the generic quantized coordinate ring $\mathcal{O}_q(G)$ is Auslander-regular, Cohen-Macaulay, and catenary for every connected semisimple Lie group $G$. This answers questions raised by Brown, Lenagan, and the first author. We also prove that under certain hypotheses concerning the existence of normal elements, a noetherian Hopf algebra is Auslander-Gorenstein and Cohen-Macaulay. This provides a new set of positive cases for a question of Brown and the first author.
dc.identifierhttps://arxiv.org/abs/math/0510420
dc.identifierhttp://arxiv.org/abs/math/0510420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103735
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16A39, 16K40, 16E10, 16W50
dc.titleHomological properties of quantized coordinate rings of semisimple groups
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