An imaginary PBW basis for quantum affine algebras of type 1

Abstract

Let $\hat{\mathfrak{g}}$ be an affine Lie algebra of type 1. We give a PBW basis for the quantum affine algebra $U_q(\hat{\mathfrak{g}})$ with respect to the triangular decomposition of $\hat{\mathfrak{g}}$ associated with the imaginary positive root system.

Introduction rewritten plus some typos corrected

Cited by in corpus (1)

• Kashiwara Algebras and Imaginary Verma Modules for $U_q(\hat{\mathfrak{g}})$