Séminaire Lotharingien de Combinatoire, 91B.63 (2024), 12 pp.

Ekaterina Presnova and Evgeny Smirnov

Lascoux Polynomials and Gelfand-Zetlin Patterns

Abstract. We give a new combinatorial description for Lascoux polynomials and for symmetric Grothendieck polynomials in terms of cellular decompositions of Gelfand-Zetlin polytopes. This generalizes a similar result on key polynomials by Kiritchenko, Smirnov, and Timorin.

Received: November 15, 2023. Accepted: February 15, 2024. Final version: April 1, 2024.

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