Pseudo-Kaehler Quantization on Flag Manifolds

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dc.creatorKarabegov, Alexander V.
dc.date1997-09-17
dc.date.accessioned2026-07-07T09:13:20Z
dc.date.available2026-07-07T09:13:20Z
dc.descriptionA unified approach to geometric, symbol and deformation quantizations on a generalized flag manifold endowed with an invariant pseudo-Kaehler structure is proposed. The Hilbert space of states is realized via the Bott-Borel-Weil theorem in the sheaf cohomology of the geometric quantization line bundle. The corresponding deformation quantization is a quantization with separation of variables. In particular cases we arrive at Berezin's quantization via covariant and contravariant symbols.
dc.description32 pages, latex
dc.identifierhttps://arxiv.org/abs/dg-ga/9709015
dc.identifierhttp://arxiv.org/abs/dg-ga/9709015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152290
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titlePseudo-Kaehler Quantization on Flag Manifolds
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