scientific article; zbMATH DE number 7203450

zbMath1440.05204MaRDI QIDQ5110990

Andrew Timothy Wilson, Jeffery B. Remmel, James Haglund

Publication date: 26 May 2020

Full work available at URL: https://dmtcs.episciences.org/6384

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Macdonald polynomialsDyck pathsparking functionsordered set partitionsTesler matrices

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (3)

A valley version of the delta square conjecture ⋮ The Delta Conjecture at 𝑞=1 ⋮ Interview with Xavier Viennot

Cites Work

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• A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\)
• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• Ordered set partition statistics and the delta conjecture
• Conjectured statistics for the \(q,t\)-Catalan numbers.
• Splitting the square of a Schur function into its symmetric and antisymmetric parts
• An extension of MacMahon's equidistribution theorem to ordered set partitions
• Square $\boldsymbol {q,t}$-lattice paths and $\boldsymbol {\nabla (p_n)}$
• Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
• Compositional (km,kn)-Shuffle Conjectures
• A proof of the shuffle conjecture

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