V. A. Stukopin, “Representations of the Yangian of a Lie superalgebra of type <nobr>$A(m,n)$</nobr>”, Izv. RAN. Ser. Mat., 2013, Volume 77, Issue 5,Pages <nobr>179

This article is cited in 13 papers

Representations of the Yangian of a Lie superalgebra of type $A(m,n)$

V. A. Stukopin^ab

^a Don State Technical University
^b South Mathematical Institute of VSC RAS

Abstract: We describe the finite-dimensional irreducible representations of the Yangian of a Lie superalgebra of type $A(m,n)$. We formulate and prove a criterion for an irreducible representation to be finite-dimensional.

Keywords: Yangian of a Lie superalgebra, irreducible representation, Drinfel'd polynomial, simple module.

UDC: 512.667.7+512.554.32

MSC: Primary 17B10; Secondary 17B37, 81R10

Received: 04.05.2011
Revised: 30.10.2012

DOI: 10.4213/im7791