Lascoux Polynomials and Subdivisions of Gelfand–Zetlin Polytopes
Abstract We give a new combinatorial description for Grassmannian 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.
Authors
- Evgeny Smirnov (ORCID: https://orcid.org/0000-0002-8029-2730)
- Ekaterina Presnova
Institutions
- National Research University Higher School of Economics (RU)
- Guangdong Technion-Israel Institute of Technology (CN)
- Independent University of Moscow (RU)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-08-16
- DOI
- https://doi.org/10.1093/imrn/rnae188
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00