Convergence of star products: from examples to a general framework

DOI10.4171/EMSS/31zbMath1443.53052arXiv1901.11327OpenAlexW2994764439MaRDI QIDQ2187950

Stefan Waldmann

Publication date: 3 June 2020

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.11327

zbMATH Keywords

convergencedeformation quantizationstar productslocally convex algebras

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Deformation quantization, star products (53D55)

Related Items (7)

Convergent star products on cotangent bundles of Lie groups ⋮ Remarks on star products for non-compact CR manifolds with non-degenerate Levi form ⋮ On the Moyal star product of resurgent series ⋮ Strict quantization of polynomial Poisson structures ⋮ Group actions in deformation quantization ⋮ Strict quantization of coadjoint orbits ⋮ Toeplitz operators on CR manifolds and group actions

Cites Work

• Perturbative algebraic quantum field theory. An introduction for mathematicians
• Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
• Convergent star products for projective limits of Hilbert spaces
• Unbounded operator algebras and representation theory.
• Deformation quantization of Heisenberg manifolds
• A nuclear Weyl algebra
• POISSON STRUCTURE INDUCED (TOPOLOGICAL) FIELD THEORIES
• Lie Group Convolution Algebras as Deformation Quantizations of Linear Poisson Structures
• Deformation quantization for actions of 𝑅^{𝑑}
• STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION

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