Combinatorics of the \(q\)-basis of symmetric functions

DOI10.1006/jcta.1996.0103zbMath0864.05085OpenAlexW2117810684MaRDI QIDQ2563713

Arun Ram, Tamsen Whitehead, Jeffery B. Remmel

Publication date: 22 June 1997

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1996.0103

zbMATH Keywords

partitionSchur functionsgenerating functionYoung diagramsymmetric functionstransition matrixcharacter tableIwahori-Hecke algebrabrick tabloidHall-Littlewood \(q\)-functionslayered special rim hook tableaux

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (9)

The combinatorics of Jeff Remmel ⋮ Eulerian quasisymmetric functions ⋮ Consecutive up-down patterns in up-down permutations ⋮ Asymptotics of \(q\)-Plancherel measures. ⋮ Generalized pattern-matching conditions for \(C_k \wr S_n\) ⋮ Applications of the Frobenius formulas for the characters of the symmetric group and the Hecke algebras of type A ⋮ Enumeration of \(m\)-tuples of permutations and a new class of power bases for the space of symmetric functions ⋮ 𝑞-Eulerian polynomials: Excedance number and major index ⋮ Truncated homogeneous symmetric functions

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