The analogs of Riemann and Penrose tensors on supermanifolds

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dc.creatorPoletaeva, Elena
dc.date2005-10-08
dc.date.accessioned2026-07-07T06:47:15Z
dc.date.available2026-07-07T06:47:15Z
dc.descriptionThe Spencer cohomology of certain graded Lie superalgebras are completely computed. This cohomology is interpreted as analogs of Riemann and Penrose tensors on supermanifolds. The results make it manifest that there is no simple generalization of Borel-Weil-Bott's theorem for Lie superalgebras.
dc.description71 pp, LaTeX. The paper expounds the results of my eight papers that appeared mainly in not very accessible journals and proceedings
dc.identifierhttps://arxiv.org/abs/math/0510165
dc.identifierhttp://arxiv.org/abs/math/0510165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103592
dc.subjectRepresentation Theory
dc.subjectDifferential Geometry
dc.subject58A50, 17B56 (Primary) 53C65, 58H10, 17A70, 17B66, 58H10 (Secondary)
dc.titleThe analogs of Riemann and Penrose tensors on supermanifolds
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