Nonsymmetric Macdonald superpolynomials

DOI10.3842/SIGMA.2021.054zbMath1489.05154arXiv2011.05886MaRDI QIDQ2035742

Charles F. Dunkl

Publication date: 25 June 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05886

zbMATH Keywords

symmetrizationnormsHecke algebrasuperpolynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vector valued Macdonald polynomials
• Orthogonality of Jack polynomials in superspace
• Symmetric Jack polynomials from non-symmetric theory
• Yang-Baxter graphs, Jack and Macdonald polynomials
• A reproducing kernel for nonsymmetric Macdonald polynomials
• The norm and the evaluation of the Macdonald polynomials in superspace
• A positive-definite inner product for vector-valued Macdonald polynomials
• Macdonald polynomials in superspace as eigenfunctions of commuting operators
• Orthogonal functions generalizing Jack polynomials
• Representations of Hecke Algebras of General Linear Groups

This page was built for publication: Nonsymmetric Macdonald superpolynomials