Constant term methods in the theory of Tesler matrices and Macdonald polynomial operators

DOI10.1007/s00026-013-0213-6zbMath1297.05240OpenAlexW2153433718MaRDI QIDQ404391

J. Herrera, H. S. Yoon

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00026-013-0213-6

zbMATH Keywords

Hilbert seriesMacdonald polynomialdiagonal harmonicsTesler matrix

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items

A weighted sum over generalized Tesler matrices, Ehrhart positivity of Tesler polytopes and Berline-Vergne's valuation, Generalized \(q,t\)-Catalan numbers, Refined knot invariants and Hilbert schemes, The polytope of Tesler matrices, Flow Polytopes and the Space of Diagonal Harmonics

Cites Work

• A polynomial expression for the Hilbert series of the quotient ring of diagonal coinvariants
• Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients
• Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
• A fast algorithm for MacMahon's partition analysis
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
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