R-Matrix presentation of quantum affine algebra in type $A_{2n-1}^{(2)}$

Abstract

In this paper, we give an RTT presentation of the twisted quantum affine algebra of type $A_{2n-1}^{(2)}$ and show that it is isomorphic to the Drinfeld new realization via the Gauss decomposition of the L-operators. This provides the first such presentation for twisted quantum affine algebras with nontrivial central element.

42pp. arXiv admin note: text overlap with arXiv:1903.00204

References in corpus (2)

• A q-Analogue of the Centralizer Construction and Skew Representations of the Quantum Affine Algebra
• On the R-matrix realization of quantum loop algebras

Cited by in corpus (1)

• $RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p,q}(\widehat{\mathfrak{gl}(m|n))}$