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Izvestiya: Mathematics, 2013, Volume 77, Issue 5, Pages 1021–1043
DOI: https://doi.org/10.1070/IM2013v077n05ABEH002668 (Mi im7791) 		 
This article is cited in 12 scientific papers (total in 12 papers)

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

V. A. Stukopinab

a Don State Technical University
b South Mathematical Institute of VSC RAS
English version PDF (395 kB) Citations (12)
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DOI: https://doi.org/10.1070/IM2013v077n05ABEH002668
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.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00671-a
Ministry of Education and Science of the Russian Federation П1116
14.А18.21.0356
Received: 04.05.2011
Revised: 30.10.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2013, Volume 77, Issue 5, Pages 179–202
DOI: https://doi.org/10.4213/im7791
Bibliographic databases:
Document Type: Article
UDC: 512.667.7+512.554.32
MSC: Primary 17B10; Secondary 17B37, 81R10
Language: English
Original paper language: Russian
Citation: V. A. Stukopin, “Representations of the Yangian of a Lie superalgebra of type $A(m,n)$”, Izv. RAN. Ser. Mat., 77:5 (2013), 179–202; Izv. Math., 77:5 (2013), 1021–1043
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2013v077n05ABEH002668
  • https://www.mathnet.ru/eng/im/v77/i5/p179
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:493
    Russian version PDF:182
    English version PDF:8
    References:75
    First page:43
     
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