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Multiplication of a Schubert polynomial by a Stanley symmetric polynomial

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arxiv 1702.00132 v1 pith:5AA75U37 submitted 2017-02-01 math.CO math.AG

Sami Assaf This is my paper · ORCID
classification math.COmath.AG
keywords polynomialschubertcombinatorialnonnegativeproductrulestanleysymmetric
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra

    math.CO 2026-06 unverdicted novelty 7.0 of 10

    A Littlewood-Richardson rule counts pairs of forest RC graphs whose lift product matches a target forest-code and weight c, and the same rule applies to dual bases via a new Schubert bialgebra.

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