Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials
Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials
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DMTCS
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English
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DMTCS
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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...
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Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials
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TN_cdi_doaj_primary_oai_doaj_org_article_2d9f15f893324263b7dafda5047ef08d
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_2d9f15f893324263b7dafda5047ef08d
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1365-8050,1462-7264
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1365-8050
DOI
10.46298/dmtcs.2483