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
highest weight polynomialsMacdonald and Jack Polynomialsrepresentation theory of symmetric group and Hecke algebrasingular polynomialsvector-valued polynomials
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)
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- Vector-valued Jack polynomials from scratch
- Vector valued Macdonald polynomials
- Clustering properties of rectangular Macdonald polynomials
- Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde
- Macdonald polynomials at \(t=q^k\)
- Generalized binomial coefficients and Macdonald polynomials
- Symmetric and nonsymmetric Macdonald polynomials
- Yang-Baxter graphs, Jack and Macdonald polynomials
- Harmonic analysis for certain representations of graded Hecke algebras
- Nonsymmetric Jack polynomials and integral kernels
- Singular nonsymmetric Macdonald polynomials and quasistaircases
- Factorizations of symmetric Macdonald polynomials
- Parabolic degeneration of rational Cherednik algebras
- LAUGHLIN'S WAVE FUNCTIONS, COULOMB GASES AND EXPANSIONS OF THE DISCRIMINANT
- Highest weight Macdonald and Jack polynomials
- 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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