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...

وصف كامل

التفاصيل البيبلوغرافية

الحاوية / القاعدة:	Discrete Mathematics & Theoretical Computer Science
المؤلف الرئيسي:	Masaki Watanabe
التنسيق:	مقال
اللغة:	الإنجليزية
منشور في:	Discrete Mathematics & Theoretical Computer Science 2015-01-01
الموضوعات:	schubert functors kraśkiewicz-pragacz modules schubert polynomials schubert calculus [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
الوصول للمادة أونلاين:	https://dmtcs.episciences.org/2483/pdf