English

Dual Schubert polynomials via a Cauchy identity

Combinatorics 2023-12-01 v1

Abstract

We give a combinatorial proof that Postnikov and Stanley's formula for dual Schubert polynomials in terms of weighted chains in Bruhat order is equivalent to a classical Cauchy identity for polynomials. This gives a natural interpretation of Huang and Pylyavskyy's recent insertion algorithms.

Keywords

Cite

@article{arxiv.2311.18099,
  title  = {Dual Schubert polynomials via a Cauchy identity},
  author = {Zachary Hamaker},
  journal= {arXiv preprint arXiv:2311.18099},
  year   = {2023}
}

Comments

6 pages

R2 v1 2026-06-28T13:36:08.815Z