Shuffle algebra realization of quantum affine superalgebra [formula omitted

Abstract

Inspired by [12], we give shuffle algebra realization of positive part of quantum affine superalgebra Uv(Dˆ(2,1;θ)) associated to any simple root systems. We also determine the shuffle algebra associated to slˆ(2|1) with odd root system when v is a primitive root of unity of even order, generalizing results in [4].