Connections between vector-valued and highest weight Jack and Macdonald polynomials

DOI10.4171/AIHPD/119MaRDI QIDQ2159581

Laura Colmenarejo, Jean-Gabriel Luque, Charles F. Dunkl

Publication date: 1 August 2022

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04631

zbMATH Keywords

highest weight polynomialsMacdonald and Jack Polynomialsrepresentation theory of symmetric group and Hecke algebrasingular polynomialsvector-valued polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Many-body theory; quantum Hall effect (81V70) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (1)

Singular nonsymmetric Macdonald polynomials and quasistaircases

Uses Software

• SCHUR

Cites Work

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• Hyperdeterminantal computation for the Laughlin wavefunction
• Representations of Hecke Algebras of General Linear Groups
• Differential-Difference Operators Associated to Reflection Groups
• The square of the Vandermonde determinant and itsq-generalization
• Powers of the Vandermonde determinant and the quantum Hall effect

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