Strict Quantization of Solvable Symmetric Spaces

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dc.creatorBieliavsky, Pierre
dc.date2000-10-01
dc.date.accessioned2026-07-07T04:37:45Z
dc.date.available2026-07-07T04:37:45Z
dc.descriptionThis work is a contribution to the area of Strict Quantization (in the sense of Rieffel) in the presence of curvature and non-Abelian group actions. More precisely, we use geometry to obtain explicit oscillatory integral formulae for strongly invariant strict deformation quantizations of a class of solvable symplectic symmetric spaces. Each of these quantizations gives rise to a field of (pre)-C*-algebras whose fibers are function algebras which are closed under the deformed product. The symmetry group of the symmetric space acts on each fiber by C*-algebra automorphisms.
dc.description32 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0010004
dc.identifierhttp://arxiv.org/abs/math/0010004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60021
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53C35 (Primary) 81S10 (Secondary)
dc.titleStrict Quantization of Solvable Symmetric Spaces
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