Rankin-Cohen brackets and associativity

DOI10.1007/s11005-008-0266-3zbMath1167.53075OpenAlexW1968711233MaRDI QIDQ1013618

Michael Pevzner

Publication date: 20 April 2009

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

Full work available at URL: https://doi.org/10.1007/s11005-008-0266-3

zbMATH Keywords

quantizationmodular formsstar productdiscrete series representationsRankin-Cohen bracketsassociative deformation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Holomorphic modular forms of integral weight (11F11) Deformation quantization, star products (53D55)

Related Items (6)

Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs ⋮ Rankin-Cohen brackets and representations of conformal Lie groups ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Singular invariant trilinear forms and covariant (bi-)differential operators under the conformal group ⋮ Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets ⋮ Covariant quantization: spectral analysis versus deformation theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Lie theory of the Rankin-Cohen brackets and allied bi-differential operators
• Rankin-Cohen brackets and formal quantization
• Distributions spheriques sur les espaces hyperboliques
• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Deformation theory and quantization. I: Deformations of symplectic structures
• Modular forms and differential operators
• Exotic deformation quantization
• Algebras of symbols and modular forms
• Harmonic analysis on hyperboloids
• TENSOR PRODUCTS OF UNITARY REPRESENTATIONS OF THE THREE-DIMENSIONAL LORENTZ GROUP
• RANKIN–COHEN TYPE DIFFERENTIAL OPERATORS FOR SIEGEL MODULAR FORMS
• Transvectants, modular forms, and the Heisenberg algebra.
• Rankin-Cohen brackets and invariant theory

This page was built for publication: Rankin-Cohen brackets and associativity