Jack vertex operators and realization of Jack functions
From MaRDI portal
Publication:2441561
DOI10.1007/s10801-013-0438-9zbMath1286.05175arXiv1108.2007OpenAlexW2058246799WikidataQ57443530 ScholiaQ57443530MaRDI QIDQ2441561
Naihuan Jing, Tommy Wuxing Cai
Publication date: 25 March 2014
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.2007
Symmetric functions and generalizations (05E05) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items (4)
Some combinatorial properties of skew Jack symmetric functions ⋮ Deformation of Cayley's hyperdeterminants ⋮ Macdonald symmetric functions of rectangular shapes ⋮ A generalization of Newton's identity and Macdonald functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Applications of a Laplace-Beltrami operator for Jack polynomials
- On vertex operator realizations of Jack functions
- Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial
- Vertex operators, symmetric functions, and the spin group \(\Gamma_ n\)
- Principal subspace for the bosonic vertex operator \(\phi_{\sqrt {2m}}(z)\) and Jack polynomials
- Correspondence between conformal field theory and Calogero-Sutherland model
- Hyperdeterminantal expressions for Jack functions of rectangular shapes
- Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde
- Vertex operators and Hall-Littlewood symmetric functions
- Some combinatorial conjectures for Jack polynomials
- Aomoto's machine and the Dyson constant term identity
- Shifted Jack polynomials, binomial formula, and applications
- A recursion and a combinatorial formula for Jack polynomials
- Some combinatorial properties of Jack symmetric functions
- Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra
- Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials
- Determinantal expression and recursion for Jack polynomials
- A positivity conjecture for Jack polynomials
- Hilbert schemes, polygraphs and the Macdonald positivity conjecture
- JACK POLYNOMIALS AND THE MULTI-COMPONENT CALOGERO-SUTHERLAND MODEL
- Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
- Proof of a Conjecture by Dyson in the Statistical Theory of Energy Levels
- Proof of a Conjecture by Dyson
This page was built for publication: Jack vertex operators and realization of Jack functions