From quasisymmetric expansions to Schur expansions via a modified inverse Kostka matrix

DOI10.1016/j.ejc.2010.05.010zbMath1219.05195OpenAlexW2053380927MaRDI QIDQ710723

Nicholas A. Loehr, Gregory S. Warrington, Egge, Eric S.

Publication date: 22 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2010.05.010

zbMATH Keywords

Schur functionssymmetric functionMacdonald polynomialsquasisymmetric functionsSchur coefficientsinverse Kostka matrixquasisymmetric coefficients

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Group actions on combinatorial structures (05E18)

Related Items (18)

On the Schur function expansion of a symmetric quasi-symmetric function ⋮ Quasisymmetric and Schur expansions of cycle index polynomials ⋮ A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions ⋮ Characters and chromatic symmetric functions ⋮ On Schur multiple zeta functions: a combinatoric generalization of multiple zeta functions ⋮ The Pieri formulas for hook type Schur multiple zeta functions ⋮ On rotated Schur-positive sets ⋮ Schedules and the Delta Conjecture ⋮ Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials ⋮ A combinatorial formula for the Schur coefficients of chromatic symmetric functions ⋮ Quasisymmetric expansions of Schur-function plethysms ⋮ A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\) ⋮ From symmetric fundamental expansions to Schur positivity ⋮ Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials ⋮ The genomic Schur function is fundamental-positive ⋮ Schur function expansions and the rational shuffle theorem ⋮ LLT cumulants and graph coloring ⋮ Rational parking functions and Catalan numbers

Cites Work

• Unnamed Item
• Unnamed Item
• A computational and combinatorial exposé of plethystic calculus
• Stability of Kronecker products of irreducible characters of the symmetric group
• On the inverse Kostka matrix
• Toward the Schur expansion of Macdonald polynomials
• Enumeration of plane partitions
• Nested Quantum Dyck Paths and  (s )
• Special Rim Hook Tabloids and Some New Multiplicity-Free S-Series
• A combinatorial formula for Macdonald polynomials
• A combinatorial interpretation of the inverse kostka matrix
• A combinatorial model for the Macdonald polynomials

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