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arXiv · 1410.7981

Tensor product of Kraśkiewicz and Pragacz's modules

Masaki Watanabe
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Abstract

This paper explores further properties of modules related with Schubert polynomials, introduced by Kraśkiewicz and Pragacz. In this paper we show that any tensor product of Kraśkiewicz-Pragacz modules admits a filtration by Kraśkiewicz-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.

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Masaki Watanabe. 2014-10-29. Tensor product of Kraśkiewicz and Pragacz's modules. https://arxiv.org/abs/1410.7981

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