Rigidity of Graded Regular Algebras

dc.creatorKirkman, E.
dc.creatorKuzmanovich, J.
dc.creatorZhang, J. J.
dc.date2007-06-05
dc.date.accessioned2026-07-07T08:04:12Z
dc.date.available2026-07-07T08:04:12Z
dc.descriptionWe prove a graded version of Alev-Polo's rigidity theorem: the homogenization of the universal enveloping algebra of a semisimple Lie algebra and the Rees ring of the Weyl algebras $A_n(k)$ cannot be isomorphic to their fixed subring under any finite group action. We also show the same result for other classes of graded regular algebras including the Sklyanin algebras.
dc.description39 pages To be published in Transactions of the American Mathematical Society
dc.identifierhttps://arxiv.org/abs/0706.0662
dc.identifierhttp://arxiv.org/abs/0706.0662
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129865
dc.subjectRings and Algebras
dc.subject16A62 (Primary), 16E70, 16W30, 20J50 (Secondary)
dc.titleRigidity of Graded Regular Algebras
dc.typetext

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