Year: 2026
Type: preprint
Abstract: We prove the (signed) Grothendieck join--meet positivity $$ G_{λ\veeμ}G_{λ\wedgeμ} -G_λG_μ\in \sum_ν \mathbb{N}\cdot (-1)^{|ν|-|λ|-|μ|}G_ν$$ for stable Grothendieck polynomials using geometric Satake equivalence, thereby resolving a conjecture posed by Thomas and Yong.
Source: arXiv (Cornell University)
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G1288550874
OpenAlex ID: W7223781226