Quadratic forms of skew Schur functions
type: Item
instance of: scholarly article
title: Quadratic forms of skew Schur functions
zbMATH Open document ID: 0651.05011
DOI: 10.1016/S0195-6698(88)80041-6
published in: European Journal of Combinatorics
publication date: 1988-01-01T00:00:00Z
review text: The skew Schur function is a generating function for skew column-strict plane partitions. The author uses non-intersecting path representations of such partitions to prove a quadratic identity for skew Schur functions. Such expansions had been proved by A. Lascoux (unpublished) using the Jacobi-Trudi identity and work with determinants. The author derives a family of quadratic expansions for the product of an arbitrary pair of skew Schur functions, a special case of which is the main result of Lascoux.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A17
zbMATH DE Number: 4061249
zbMATH Keywords: skew Schur function
zbMATH Keywords: generating function
zbMATH Keywords: plane partitions
author: I. P. Goulden
reviewed by: Gerald L. Alexanderson
MaRDI profile type: Publication
cites work: Binomial determinants, paths, and hook length formulae
cites work: Q3669422
cites work: Q3947818
cites work: Theory and Application of Plane Partitions: Part 1
full work available at URL: s0195-6698(88)80041-6
OpenAlex ID: W2048313197
description: scientific article; zbMATH DE number 4061249