Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux
arXiv:2406.16879 · doi:10.1007/s10801-025-01435-1
Abstract
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 corresponding to 2-column semistandard Young tableaux, up to a conjectural property. Moreover, we give a conjectural sufficient condition for a module corresponding to a tableau with more than two columns to be prime.
This is a part of the original file arXiv:2303.05618v3. The original file arXiv:2303.05618v3 is splited into two parts. The other part of the original file arXiv:2303.05618v3 has the title: Tropical Geometry, Quantum Affine Algebras, and Scattering Amplitudes