Symmetry and Pieri rules for the bisymmetric Macdonald polynomials

DOI10.1016/j.ejc.2024.103973zbMATH Open1544.33015MaRDI QIDQ6568848

Manuel Concha, Luc Lapointe

Publication date: 8 July 2024

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Macdonald polynomialsHecke algebraantisymmetrization

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

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• Orthogonality of Jack polynomials in superspace
• Symmetric and nonsymmetric Macdonald polynomials
• Jack polynomials in superspace
• Pieri rules for the Jack polynomials in superspace and the 6-vertex model
• Macdonald polynomials in superspace: conjectural definition and positivity conjectures
• The norm and the evaluation of the Macdonald polynomials in superspace
• Macdonald polynomials in superspace as eigenfunctions of commuting operators
• SOME PROPERTIES OF MACDONALD POLYNOMIALS WITH PRESCRIBED SYMMETRY
• Self-dual Koornwinder-Macdonald polynomials

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