Haglund's conjecture for multi-\(t\) Macdonald polynomials

DOI10.1016/j.disc.2023.113360OpenAlexW4319869760WikidataQ123291534 ScholiaQ123291534MaRDI QIDQ2699928

Jaeseong Oh, Seung Jin Lee, Brendon Rhoades

Publication date: 20 April 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.04590

zbMATH Keywords

Macdonald polynomialsLLT polynomialsHaglund's conjecturestretching symmetry

Mathematics Subject Classification ID

Cycles and subschemes (14Cxx) Algebraic combinatorics (05Exx) Enumerative combinatorics (05Axx)

Cites Work

• Weighted inversion numbers, restricted growth functions, and standard Young tableaux
• Plethystic formulas for Macdonald \(q,t\)-Kostka coefficients
• Linear relations on LLT polynomials and their \(k\)-Schur positivity for \(k=2\)
• Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
• A combinatorial formula for Macdonald polynomials
• A graded representation model for Macdonald's polynomials.
• A new class of symmetric functions

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