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arXiv · 2312.01417

Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes

Ekaterina Presnova·Evgeny Smirnov
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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.

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Ekaterina Presnova, Evgeny Smirnov. 2024-10-14. Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes. https://doi.org/10.1093/imrn%2Frnae188

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