A bijective proof of a factorization formula for specialized Macdonald polynomials

DOI10.1007/s00026-012-0162-5zbMath1256.05022OpenAlexW2101988350WikidataQ114231916 ScholiaQ114231916MaRDI QIDQ1929753

Elizabeth Niese, Nicholas A. Loehr

Publication date: 9 January 2013

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

Full work available at URL: https://doi.org/10.1007/s00026-012-0162-5

zbMATH Keywords

Macdonald polynomials\(q\)-multinomial coefficientsbijectionsinversions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Related Items (4)

Modified Macdonald polynomials and the multispecies zero-range process. I ⋮ Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials ⋮ Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials ⋮ A Combinatorial Approach to the Symmetry of $q,t$-Catalan Numbers

Cites Work

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• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• Factorization formulas for Macdonald polynomials
• A bijective proof of a factorization formula for Macdonald polynomials at roots of unity
• A combinatorial formula for Macdonald polynomials
• Combinatorial theory of Macdonald polynomials I: Proof of Haglund's formula
• A combinatorial model for the Macdonald polynomials
• On the Netto Inversion Number of a Sequence
• A new class of symmetric functions

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