Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets

DOI10.5802/crmath.193zbMath1476.53107arXiv1801.00582OpenAlexW3168076794MaRDI QIDQ2034759

Emmanuel Royer, François Martin, François Dumas, Young Ju Choie

Publication date: 23 June 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00582

zbMATH Keywords

modular formsJacobi formRankin-Cohen bracketformal deformationquasimodular formsSerre derivation

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Deformation quantization, star products (53D55) Poisson algebras (17B63) Derivations, actions of Lie algebras (16W25) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs
• Poisson structures and star products on quasimodular forms
• The theory of Jacobi forms
• The Lie theory of the Rankin-Cohen brackets and allied bi-differential operators
• Rankin-Cohen brackets and formal quantization
• Rankin-Cohen brackets and associativity
• Deformation quantizations of the Poisson algebra of Laurent polynomials
• Modular forms and differential operators
• Exotic deformation quantization
• Rankin-Cohen operators for Jacobi and Siegel forms
• Jacobi forms and generalized RC-algebras.
• A generating function for Rankin-Cohen brackets
• Generalized transvectants-Rankin-Cohen brackets
• Algebras of symbols and modular forms
• Quasimodular forms: an introduction
• Poisson Structures
• Elliptic Modular Forms and Their Applications

This page was built for publication: Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets