3 papers
math.RT2026
Tropical symmetries of cluster algebras
James Drummond, Ömer Gürdoğan, Jian-Rong Li
We study tropicalisations of quasi-automorphisms of cluster algebras and show that their induced action on the g-vectors can be realized by tropicalising their action on the homoge…
math.QA2024
Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux
Nick Early, Jian-Rong Li
Finite dimensional simple modules of quantum affine algebras of type A correspond to semistandard Young tableaux of rectangular shapes. In this paper, we classify all prime modules…
math.QA2023
Tropical Geometry, Quantum Affine Algebras, and Scattering Amplitudes
Nick Early, Jian-Rong Li
The goal of this paper is to make a connection between tropical geometry, representations of quantum affine algebras, and scattering amplitudes in physics. The connection allows us…