Conformal symplectic geometry, deformations, rigidity and geometrical (KMS) conditions

DOI10.1007/BF00398154zbMath0589.53037OpenAlexW2039379574MaRDI QIDQ1074135

André Lichnerowicz, Henri Basart

Publication date: 1985

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00398154

zbMATH Keywords

symplectic geometrystar productrigidity theoremconformal Poisson geometrylocal associative algebra

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometric quantization (53D50)

Related Items (10)

On the regular Hilbert space representation of a Moyal quantization ⋮ Star product and invariant integration for Lie type noncommutative spacetimes ⋮ STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION ⋮ Remarks on the GNS Representation and the Geometry of Quantum States ⋮ Schwinger-Keldysh formalism. II: Thermal equivariant cohomology ⋮ On the inverse mapping of the formal symplectic groupoid of a deformation quantization ⋮ Deformation quantization of a certain type of open systems ⋮ Involutions and representations for reduced quantum algebras ⋮ Deformation quantization of Heisenberg manifolds ⋮ KMS states and star product quantization

Cites Work

• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Deformation theory and quantization. I: Deformations of symplectic structures
• LOCAL LIE ALGEBRAS

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