V. A. Stukopin, “Isomorphism of the Yangian $Y_{\hbar}(A(m,n))$ of the special linear Lie superalgebra and the quantum loop superalgebra $U_{\hbar}(LA(m,n))$”, TMF, 2019, Volume 198, Number 1,Pages 145

This article is cited in 7 papers

Isomorphism of the Yangian $Y_{\hbar}(A(m,n))$ of the special linear Lie superalgebra and the quantum loop superalgebra $U_{\hbar}(LA(m,n))$

V. A. Stukopin^abcd

^a Don State Technical University, Rostov-on-Don, Russia
^b South Mathematical Institute, RAS, Vladikavkaz, Russia
^c Poncelet Interdisciplinary Scientific Center, Moscow, Russia
^d The Skolkovo Institute of Science and Technology (Skoltech), Center of Advanced Research, Moscow, Russia

Abstract: Using the approach of Gautam and Toledano Laredo, we construct an explicit isomorphism of the Yangian $Y_{\hbar}(A(m,n))$ of the special linear Lie superalgebra and the quantum loop superalgebra $U_{\hbar}(LA(m,n))$.

Keywords: Yangian of a Lie superalgebra, quantum loop superalgebra, Yangian module, Lie superalgebra, quantum affine superalgebra.

Received: 15.02.2018
Revised: 22.03.2018

DOI: 10.4213/tmf9547