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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Vydané v:	Discrete mathematics and theoretical computer science Ročník DMTCS Proceedings, 27th...; číslo Proceedings; s. 253 - 260
Hlavný autor:	Watanabe, Masaki
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	DMTCS 01.01.2015 Discrete Mathematics & Theoretical Computer Science
Edícia:	DMTCS Proceedings
Predmet:	[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
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