Macdonald polynomials at \(t=q^k\)

DOI10.1016/j.jalgebra.2009.11.012zbMath1202.33025arXiv0802.1454OpenAlexW2052011900MaRDI QIDQ984991

Jean-Gabriel Luque

Publication date: 20 July 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1454

zbMATH Keywords

Hecke algebrasMacdonald polynomials\(q\)-discriminantCherednik elements

Mathematics Subject Classification ID

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)

Related Items (2)

Connections between vector-valued and highest weight Jack and Macdonald polynomials ⋮ Jack polynomial fractional quantum Hall states and their generalizations

Uses Software

• SCHUR

Cites Work

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• Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde
• A proof of Andrews' \(q\)-Dyson conjecture
• Yang-Baxter graphs, Jack and Macdonald polynomials
• LAUGHLIN'S WAVE FUNCTIONS, COULOMB GASES AND EXPANSIONS OF THE DISCRIMINANT
• Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
• The square of the Vandermonde determinant and itsq-generalization
• Staircase Macdonald polynomials and the $q$-Discriminant
• Powers of the Vandermonde determinant and the quantum Hall effect

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