Diagram automorphisms and canonical bases for quantum affine algebras

Toshiaki Shoji, Zhiping Zhou

Let ${\mathbf{U}}_q^{-}$ be the negative part of the quantum enveloping algebra associated to a simply laced Kac-Moody Lie algebra $\mathfrak{g}$, and ${\underline{\mathbf{U}}}_q^{-}$ the…