Applications of a Laplace-Beltrami operator for Jack polynomials

DOI10.1016/j.ejc.2011.11.003zbMath1298.05318arXiv1101.5544OpenAlexW1996146644WikidataQ57431932 ScholiaQ57431932MaRDI QIDQ412250

Naihuan Jing, Wu Xing Cai

Publication date: 4 May 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5544

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Vertex operators; vertex operator algebras and related structures (17B69) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (7)

Sekiguchi-Debiard operators at infinity ⋮ Jack vertex operators and realization of Jack functions ⋮ Macdonald symmetric functions of rectangular shapes ⋮ A generalization of Newton's identity and Macdonald functions ⋮ Modular Macdonald functions and generalized Newton's identity ⋮ Superconformal field theory and Jack superpolynomials ⋮ CFT approach to constraint operators for (\(\beta\)-deformed) Hermitian one-matrix models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On vertex operator realizations of Jack functions
• Correspondence between conformal field theory and Calogero-Sutherland model
• Brick tabloids and the connection matrices between bases of symmetric functions
• Orthogonality of Milne's polynomials and raising operators
• A formula for two-row Macdonald functions
• \(q\)-hypergeometric series and Macdonald functions
• Collective field theory, Calogero-Sutherland model and generalized matrix models
• A recursion and a combinatorial formula for Jack polynomials
• Anyon basis of \(c=1\) conformal field theory
• A unified view of determinantal expansions for Jack polynomials
• Some combinatorial properties of Jack symmetric functions
• Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials
• Determinantal expression and recursion for Jack polynomials
• A Differential Operator for Symmetric Functions and the Combinatorics of Multiplying Transpositions
• Eigenstates of Calogero–Sutherland–Moser model and generalized Schur functions
• A combinatorial formula for Macdonald polynomials
• Virasoro algebra and wreath product convolution

This page was built for publication: Applications of a Laplace-Beltrami operator for Jack polynomials