Multiplication of a Schubert polynomial by a Stanley symmetric polynomial
Combinatorics
2017-02-02 v1 Algebraic Geometry
Abstract
We prove, combinatorially, that the product of a Schubert polynomial by a Stanley symmetric polynomial is a truncated Schubert polynomial. Using Monk's rule, we derive a nonnegative combinatorial formula for the Schubert polynomial expansion of a truncated Schubert polynomial. Combining these results, we give a nonnegative combinatorial rule for the product of a Schubert and a Schur polynomial in the Schubert basis.
Keywords
Cite
@article{arxiv.1702.00132,
title = {Multiplication of a Schubert polynomial by a Stanley symmetric polynomial},
author = {Sami Assaf},
journal= {arXiv preprint arXiv:1702.00132},
year = {2017}
}
Comments
9 pages