Tensor product of Kra\'skiewicz and Pragacz's modules
Representation Theory
2014-10-30 v1 Combinatorics
Abstract
This paper explores further properties of modules related with Schubert polynomials, introduced by Kra\'skiewicz and Pragacz. In this paper we show that any tensor product of Kra\'skiewicz-Pragacz modules admits a filtration by Kra\'skiewicz-Pragacz modules. This result can be seen as a module-theoretic counterpart of a classical result that the product of Schubert polynomials is a positive sum of Schubert polynomials.
Keywords
Cite
@article{arxiv.1410.7981,
title = {Tensor product of Kra\'skiewicz and Pragacz's modules},
author = {Masaki Watanabe},
journal= {arXiv preprint arXiv:1410.7981},
year = {2014}
}