2019/11/23 by Ekaterina A. Vassilieva, Vassilieva, Ekaterina A.
Chemistry · Mathematics · #05E05 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality
paper · pdf · doi:10.48550/arxiv.1911.10430
openalex publication_date 2019/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The connection between the generating functions of various sets of tableaux and the appropriate families of quasisymmetric functions is a significant tool to give a direct analytical proof of some advanced bijective results and provide new combinatorial formulas. In this paper we focus on two kinds of type B Littlewood-Richardson coefficients and derive new formulas using weak composition quasisymmetric functions and Chow's quasisymmetric functions. In the type A case these coefficients give the multiplication table for Schur functions, i.e. the generating functions for classical Young tableaux. We look at their generalisations involving a set of bi-tableaux and domino tableaux.