Identities for Rankin-Cohen brackets, Racah coefficients and associativity

DOI10.1007/s11005-023-01763-yarXiv2304.10803OpenAlexW4391026766MaRDI QIDQ6189669

Quentin Labriet, Loïc Poulain d'Andecy

Publication date: 8 February 2024

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

Full work available at URL: https://arxiv.org/abs/2304.10803

zbMATH Keywords

Rankin-Cohen bracketsEholzer productRacah polynomials

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs
• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Modular forms and differential operators
• On the diameter of the rotation graph of binary coupling trees
• A generating function for Rankin-Cohen brackets
• Algebras of symbols and modular forms
• Representations of the rank two Racah algebra and orthogonal multivariate polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations
• A geometrical point of view for branching problems for holomorphic discrete series of conformal Lie groups
• Realisations of Racah algebras using Jacobi operators and convolution identities

This page was built for publication: Identities for Rankin-Cohen brackets, Racah coefficients and associativity