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Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials

Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_2d9f15f893324263b7dafda5047ef08d

Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials

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Full title

Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials

Author / Creator

Publisher

DMTCS

Journal title

Discrete mathematics and theoretical computer science, 2015-01, Vol.DMTCS Proceedings, 27th... (Proceedings), p.253-260

Language

English

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Publication information

Publisher

DMTCS

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Scope and Contents

Contents

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 Schur function with a Schubertpolynomial is Schub...

Alternative Titles

Full title

Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials

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Author / Creator

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Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_2d9f15f893324263b7dafda5047ef08d

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_2d9f15f893324263b7dafda5047ef08d

Other Identifiers

ISSN

1365-8050,1462-7264

E-ISSN

1365-8050

DOI

10.46298/dmtcs.2483

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