A superpolynomial version of nonsymmetric Jack polynomials

DOI10.1007/s11139-021-00414-xzbMath1518.33008arXiv2008.13666OpenAlexW3158674492MaRDI QIDQ6158142

Charles F. Dunkl

Publication date: 31 May 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13666

zbMATH Keywords

supersymmetric polynomialshook tableauxvector-valued Jack polynomials

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Superalgebras (17A70) Orthogonal polynomials and functions associated with root systems (33C52) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Unnamed Item
• Unnamed Item
• Vector-valued Jack polynomials from scratch
• Generalized Jack polynomials and the representation theory of rational Cherednik algebras
• Symmetric and antisymmetric vector-valued Jack polynomials
• Orthogonality of Jack polynomials in superspace
• Symmetric Jack polynomials from non-symmetric theory
• Jack polynomials in superspace
• Jack superpolynomials, superpartition ordering and determinantal formulas
• Exact operator solution of the Calogero-Sutherland model
• Orthogonal functions generalizing Jack polynomials
• Vector-valued Jack polynomials and wavefunctions on the torus
• Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials