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arXiv · 1406.6203

An approach toward Schubert positivities of polynomials using Kra\'skiewicz-Pragacz modules

Masaki Watanabe
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Abstract

In this paper, we investigate properties of modules introduced by Kra\'skiewicz and Pragacz which realize Schubert polynomials as their characters. In particular, we give some characterizations of modules having a filtration by Kra\'skiewicz-Pragacz modules. In finding criteria for filtrations, we calculate generating sets for the annihilator ideals of the lowest vectors in Kra\'skiewicz-Pragacz modules, and derive a projectivity result concerning Kra\'skiewicz-Pragacz modules.

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Masaki Watanabe. 2014-06-24. An approach toward Schubert positivities of polynomials using Kra\'skiewicz-Pragacz modules. https://arxiv.org/abs/1406.6203

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