Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes

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Hauptverfasser: Presnova, Ekaterina, Smirnov, Evgeny
Format: Preprint
Veröffentlicht: 2023
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author Presnova, Ekaterina
Smirnov, Evgeny
author_facet Presnova, Ekaterina
Smirnov, Evgeny
contents We give a new combinatorial description for stable Grothendieck polynomials in terms of subdivisions of Gelfand-Zetlin polytopes. Moreover, these subdivisions also provide a description of Lascoux polynomials. This generalizes a similar result on key polynomials by Kiritchenko, Smirnov, and Timorin.
format Preprint
id arxiv_https___arxiv_org_abs_2312_01417
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes
Presnova, Ekaterina
Smirnov, Evgeny
Combinatorics
Representation Theory
05E05 (Primary) 14N10, 22E47 (Secondary)
We give a new combinatorial description for stable Grothendieck polynomials in terms of subdivisions of Gelfand-Zetlin polytopes. Moreover, these subdivisions also provide a description of Lascoux polynomials. This generalizes a similar result on key polynomials by Kiritchenko, Smirnov, and Timorin.
title Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes
topic Combinatorics
Representation Theory
05E05 (Primary) 14N10, 22E47 (Secondary)
url https://arxiv.org/abs/2312.01417