Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras

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dc.creatorCheng, Shun-Jen
dc.creatorKac, Victor G.
dc.date1998-05-07
dc.date1999-03-30
dc.date.accessioned2026-07-07T11:36:28Z
dc.date.available2026-07-07T11:36:28Z
dc.descriptionIn this paper we introduce generalized Spencer cohomology for finite depth Z-graded Lie (super)algebras. We develop a method of finding filtered deformations of such Z-graded Lie (super)algebras based on this cohomology. As an application we determine all simple filtered deformations of certain Z-graded Lie superalgebras classified in [K3], thus completing the last step in the classification of simple infinite-dimensional linearly compact Lie superalgebras.
dc.description43 pages (published version)
dc.identifierhttps://arxiv.org/abs/math/9805039
dc.identifierhttp://arxiv.org/abs/math/9805039
dc.identifierAdv.Theor.Math.Phys.2:1141-1182,1998; Addendum-ibid.8:697-709,2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198927
dc.subjectRepresentation Theory
dc.subject17B65; 81R10
dc.titleGeneralized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras
dc.typetext

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