A short proof of the integrality of the Macdonald \((q,t)\)-Kostka coefficients

DOI10.1215/S0012-7094-98-09109-8zbMath0939.05081arXivq-alg/9607026MaRDI QIDQ1974769

Luc Vinet, Luc Lapointe

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9607026

zbMATH Keywords

Rodrigues formulasymmetric functionsMacdonald polynomialsintegralitycreation operators

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (2)

Rodrigues formulas for the Macdonald polynomials ⋮ Recursion and explicit formulas for particular \(N\)-variable Knop-Sahi and Macdonald polynomials

Cites Work

• Plethystic formulas for Macdonald \(q,t\)-Kostka coefficients
• Symmetric and non-symmetric quantum Capelli polynomials
• Creation operators for the Macdonald and Jack polynomials
• Rodrigues formulas for the Macdonald polynomials
• Exact operator solution of the Calogero-Sutherland model
• Affine Hecke algebras and raising operators for Macdonald polynomials
• Integrality of two variable Kostka functions.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A short proof of the integrality of the Macdonald \((q,t)\)-Kostka coefficients