Shuffle algebra realization of quantum affine superalgebra U-v ((D)over-cap(2, 1; theta))

摘要

Inspired by [12], we give shuffle algebra realization of positive part of quantum affine superalgebra U-v((D) over cap (2, 1; theta)) associated to any simple root systems. We also determine the shuffle algebra associated to (sl) over cap((2 vertical bar 1) with odd root system when v is a primitive root of unity of even order, generalizing results in [4]. (C) 2021 Elsevier Inc. All rights reserved.