An approach towards Schubert positivities of polynomials using Kraskiewicz-Pragacz modules

摘要

In this paper, we investigate properties of modules introduced by Kraskiewicz and Pragacz which realize Schubert polynomials as their characters. In particular, we give some characterizations of modules having filtrations by Kraskiewicz-Pragacz modules. In finding criteria for such filtrations, we calculate generating sets for the annihilator ideals of the lowest vectors in Kraskiewicz-Pragacz modules and derive a projectivity result concerning Kraskiewicz-Pragacz modules. (C) 2016 Elsevier Ltd. All rights reserved.