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

dmtcs:6321 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6321
Kraskiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomialsArticle

Authors: Masaki Watanabe 1

  • 1 Department of Applied Mathematics and Physics [Kyoto]

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.


Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

Consultation statistics

This page has been seen 155 times.
This article's PDF has been downloaded 167 times.