Representations of the Yangian of a Lie superalgebra of type \(A(m,n)\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1303.17013
published in: Izvestiya: Mathematics
publication date: 2013-12-10T00:00:00Z
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 6236936
zbMATH Keywords: Lie superalgebra
zbMATH Keywords: Yangian
zbMATH Keywords: irreducible representation
zbMATH Keywords: Drinfeld polynomial
zbMATH Keywords: simple module
author: V. A. Stukopin
MaRDI profile type: Publication
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DOI: 10.1070/IM2013V077N05ABEH002668
title: Representations of the Yangian of a Lie superalgebra of type \(A(m,n)\)
review text: The aim of the paper is to classify finite dimensional irreducible representations of the Yangian of the basic Lie superalgebra of type \(A(m,n)\). It is indicated how the classification can be derived from the results of \textit{R. B. Zhang} [J. Math. Phys. 36, No. 7, 3854--3865 (1995; Zbl 0855.17012)] and [Lett. Math. Phys. 37, No. 4, 419--434 (1996; Zbl 0861.17020)], but also a direct proof is given.
reviewed by: Sorin Dascalescu
description: scientific article; zbMATH DE number 6236936