A Littlewood-Richardson Type Rule for Row-Strict Quasisymmetric Schur\n Functions

2011/02/07 by Ferreira, Jeffrey, Jeffrey Ferreira
Chemistry · Mathematics · Social Sciences · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Linguistic Variation and Morphology #Mathematical functions and polynomials #Molecular spectroscopy and chirality #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.1102.1458

openalex publication_date 2011/02/07 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We give a Littlewood-Richardson type rule for expanding the product of a\nrow-strict quasisymmetric Schur function and a symmetric Schur function in\nterms of row-strict quasisymmetric Schur functions. This expansion follows from\nseveral new properties of an insertion algorithm defined by Mason and Remmel\n(2010) which inserts a positive integer into a row-strict composition tableau.\n

Related

• Row-strict quasisymmetric Schur functions
• Shifted tableaux and products of Schur's symmetric functions
• Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions
• Quasisymmetric Schur Q-functions and peak Young quasisymmetric Schur functions
• A Littlewood-Richardson Rule for factorial Schur functions