V. A. Stukopin, “On representations of Yangian of Lie superalgebra <nobr>$\mathfrak{sl}(1,2)$</nobr>”, Vladikavkaz. Mat. Zh., 2011, Volume 13, Number 3,Pages <nobr>53

On representations of Yangian of Lie superalgebra $\mathfrak{sl}(1,2)$

V. A. Stukopin^ab

^a Don State Technical University, Rostov-on-Don, Russia
^b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia

Abstract: The finite-dimensional irreducible representations of Yangian of Lie superalgebra $\mathfrak{sl}(1,2)$. The necessary and sufficiently conditions of irreducibility of finite-dimensional representations are formulated and proved.

Key words: Yangian of Lie superalgebra, irreducible representations, Drinfeld polynomial, simple module.

UDC: 512.667.7+512.554.32

Received: 29.07.2010