Tensor product of Kraśkiewicz and Pragacz's modules

2014/10/29 by Masaki Watanabe, Watanabe, Masaki
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT

paper · pdf · doi:10.48550/arxiv.1410.7981

arxiv created 2014/10/29 · arxiv updated 2014/10/30

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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