DOAJ Open Access 2015

Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials

Masaki Watanabe

Lihat Sumber DOI

Abstrak

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 Schubert-positive. The present submission is an extended abstract on these results and the full versionof this work will be published elsewhere.

Topik & Kata Kunci

Mathematics

Penulis (1)

Masaki Watanabe

Format Sitasi

APA MLA BibTeX

Watanabe, M. (2015). Kraśkiewicz-Pragacz modules and some positivity properties of Schubert polynomials. https://doi.org/10.46298/dmtcs.2483

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2483

Informasi Jurnal

Tahun Terbit: 2015
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2483
Akses: Open Access ✓