Abacus-tournament models for Hall-Littlewood polynomials

DOI10.1016/j.disc.2016.04.014zbMath1339.05193OpenAlexW2227863669MaRDI QIDQ294529

Nicholas A. Loehr, Andrew J. Wills

Publication date: 16 June 2016

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2016.04.014

zbMATH Keywords

symmetric functiontournamentabacusHall-Littlewood polynomialPieri rule

Mathematics Subject Classification ID

Graph polynomials (05C31) Symmetric functions and generalizations (05E05) Directed graphs (digraphs), tournaments (05C20)

Related Items (1)

Abacus proofs of Cauchy product identities for Schur polynomials

Cites Work

• Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials
• A combinatorial interpretation of the inverse \(t\)-Kostka matrix.
• The combinatorics of transition matrices between the bases of the symmetric functions and the \(B_ n\) analogues
• Abacus Proofs of Schur Function Identities
• On Certain Symmetric Functions
• A combinatorial interpretation of the inverse kostka matrix
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