arXiv Open Access 2025

Stability of products of double Grothendieck polynomials

Andrew Hardt David Wallach

Lihat Sumber

Abstrak

We prove that products of double Grothendieck polynomials have the same back- and forward-stability numbers as products of Schubert polynomials, characterize which simple reflections appear in such products, and also give a new proof of a finiteness conjecture of Lam-Lee-Shimozono on products of back-stable Grothendieck polynomials which was first proved by Anderson. To do this, we use the main theorems from our recent work, as well as expansion formulas of Lenart, Fomin-Kirillov, and Lam-Lee-Shimozono.

Topik & Kata Kunci

math.CO

Penulis (2)

Andrew Hardt

David Wallach

Format Sitasi

APA MLA BibTeX

Hardt, A., Wallach, D. (2025). Stability of products of double Grothendieck polynomials. https://arxiv.org/abs/2501.14691

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓