DOAJ Open Access 2020

Kraskiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomials

Masaki Watanabe

Lihat Sumber DOI

Abstrak

In their 1987 paper Kraskiewicz and Pragacz defined certain modules, which we call KP modules, over the upper triangular Lie algebra whose characters are Schubert polynomials. In a previous work the author showed that the tensor product of Kraskiewicz-Pragacz modules always has KP filtration, i.e. a filtration whose each successive quotients are isomorphic to KP modules. In this paper we explicitly construct such filtrations for certain special cases of these tensor product modules, namely Sw Sd(Ki) and Sw Vd(Ki), corresponding to Pieri and dual Pieri rules for Schubert polynomials.

Topik & Kata Kunci

Mathematics

Penulis (1)

Masaki Watanabe

Format Sitasi

APA MLA BibTeX

Watanabe, M. (2020). Kraskiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomials. https://doi.org/10.46298/dmtcs.6321

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6321

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6321
Akses: Open Access ✓