Kostant theorem for special filtered algebras

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dc.creatorFutorny, Vyacheslav
dc.creatorOvsienko, Serge
dc.date2003-03-29
dc.date.accessioned2026-07-07T04:56:29Z
dc.date.available2026-07-07T04:56:29Z
dc.descriptionA famous result of Kostant states that the universal enveloping algebra of a semisimple complex Lie algebra is a free module over its center. We prove an analogue of this result for a class of filtered algebras and apply it to show the freeness over its center of the restricted Yangian and the universal enveloping algebra of the restricted current algebra associated with the general linear Lie algebra.
dc.identifierhttps://arxiv.org/abs/math/0303372
dc.identifierhttp://arxiv.org/abs/math/0303372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66938
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subjectQuantum Algebra
dc.subject13A02;16W70;17B37;81R10
dc.titleKostant theorem for special filtered algebras
dc.typetext

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