An orthodontia formula for Grothendieck polynomials
Combinatorics
2021-01-26 v2
Abstract
We give a new operator formula for Grothendieck polynomials that generalizes Magyar's Demazure operator formula for Schubert polynomials. Our proofs are purely combinatorial, contrasting with the geometric and representation theoretic tools used by Magyar. We apply our formula to prove a necessary divisibility condition for a monomial to appear in a given Grothendieck polynomial.
Cite
@article{arxiv.2011.13855,
title = {An orthodontia formula for Grothendieck polynomials},
author = {Karola Mészáros and Linus Setiabrata and Avery St. Dizier},
journal= {arXiv preprint arXiv:2011.13855},
year = {2021}
}
Comments
19 pages; Added additional section in v2