The University of Southampton
University of Southampton Institutional Repository

Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes

King, Ronald C., Welsh, Trevor A. and van Willigenberg, Stephanie J. (2008) Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes Journal of Algebraic Combinatorics, 28, pp. 139-167. (doi:10.1007/s10801-007-0113-0).

Record type: Article

Abstract

Some new relations on skew Schur function differences are established both combinatorially using Sch\"utzenberger's jeu de taquin, and algebraically using Jacobi-Trudi determinants. These relations lead to the conclusion that certain differences of skew Schur functions are Schur positive. Applying these results to a basis of symmetric functions involving ribbon Schur functions confirms the validity of a Schur positivity conjecture due to McNamara. A further application reveals that certain differences of products of Schubert classes are Schubert positive.

PDF jac28(2008)139-167.pdf - Version of Record
Restricted to Repository staff only
Download (710kB)

More information

Published date: August 2008
Keywords: jacobi-trudi determinant, jeu de taquin, ribbon, schubert calculus, schur positive, skew schur function, symmetric function

Identifiers

Local EPrints ID: 66210
URI: http://eprints.soton.ac.uk/id/eprint/66210
ISSN: 0925-9899
PURE UUID: 239e33bf-6c5b-4b0d-976a-111715fa8fac

Catalogue record

Date deposited: 12 Jan 2010
Last modified: 19 Jul 2017 00:26

Export record

Altmetrics

Contributors

Author: Ronald C. King
Author: Trevor A. Welsh
Author: Stephanie J. van Willigenberg

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×