Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials

We use the modules introduced by Kraśkiewicz and Pragacz (1987, 2004) to show some positivity propertiesof Schubert polynomials. We give a new proof to the classical fact that the product of two Schubert polynomialsis Schubert-positive, and also show a new result that the plethystic composition of a...

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Bibliographic Details

Published in:	Discrete mathematics and theoretical computer science Vol. DMTCS Proceedings, 27th...; no. Proceedings; pp. 253 - 260
Main Author:	Watanabe, Masaki
Format:	Journal Article Conference Proceeding
Language:	English
Published:	DMTCS 01.01.2015 Discrete Mathematics & Theoretical Computer Science
Series:	DMTCS Proceedings
Subjects:	[info.info-dm] computer science [cs]/discrete mathematics [cs.dm] Computer Science Discrete Mathematics kraśkiewicz-pragacz modules schubert calculus schubert functors schubert polynomials Schubert functors Kraśkiewicz-Pragacz modules Schubert polynomials Schubert calculus
ISSN:	1365-8050, 1462-7264, 1365-8050
Online Access:	Get full text
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