The Penrose Transform in the Split Signature

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dc.creatorAryapoor, Masood
dc.date2008-12-19
dc.date.accessioned2026-07-07T12:20:49Z
dc.date.available2026-07-07T12:20:49Z
dc.descriptionA version of the Penrose transform is introduced in the split signature. It relates the cohomological data with supports on the open subsets of the complex 3-projective space and kernel of differential operators on the (real) Grassmannian of 2-planes in the Euclidean 4-space. As an example we derive a cohomological interpretation of the so-called X-ray transform. Furthermore, a cohomological realization of the so-called "minimal" representation of SL(4,R) is given. We also present the split Penrose transform in split instanton backgrounds.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0812.3692
dc.identifierhttp://arxiv.org/abs/0812.3692
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213176
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleThe Penrose Transform in the Split Signature
dc.typetext

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