Abacus proofs of Cauchy product identities for Schur polynomials

DOI10.1007/s00026-019-00435-wzbMath1416.05289OpenAlexW2946635075WikidataQ113906312 ScholiaQ113906312MaRDI QIDQ2003733

Nicholas A. Loehr

Publication date: 9 July 2019

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

Full work available at URL: https://doi.org/10.1007/s00026-019-00435-w

zbMATH Keywords

involutionssymmetric functionsSchur polynomialsantisymmetric functionsCauchy product identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Cites Work

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• Abacus-tournament models for Hall-Littlewood polynomials
• Counting with symmetric functions
• A generalized SXP rule proved by bijections and involutions
• A Combinatorial Proof of a Plethystic Murnaghan--Nakayama Rule
• Abacus Proofs of Schur Function Identities
• Combinatorics, Second Edition
• Representation Theory

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