Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2

Let g be a hyperbolic Kac-Moody algebra of rank 2, and set λ = Λ 1 − Λ 2 , where Λ 1 , Λ 2 are the fundamental weights. Denote by V ( λ ) the extremal weight module of extremal weight λ with v λ th...