On the product of generating functions for domino and bi-tableaux
Combinatorics
2019-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1911.10430,
title = {On the product of generating functions for domino and bi-tableaux},
author = {Ekaterina A. Vassilieva},
journal= {arXiv preprint arXiv:1911.10430},
year = {2019}
}