Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes
Combinatorics
2024-10-15 v2 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2312.01417,
title = {Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes},
author = {Ekaterina Presnova and Evgeny Smirnov},
journal= {arXiv preprint arXiv:2312.01417},
year = {2024}
}
Comments
24 pages, color pictures. v2: minor corrections, introduction rewritten, final version