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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 198, Number 1, Pages 145–161
DOI: https://doi.org/10.4213/tmf9547 (Mi tmf9547) 		 
This article is cited in 6 scientific papers (total in 6 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. Stukopinabcd

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
Full-text PDF (533 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9547
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.
Funding agency Grant number
Centre National de la Recherche Scientifique UMI 2615
Skolkovo Institute of Science and Technology
This research is supported by the Poncelet Interdisciplinary Scientific Center (Grant "Domestic Research in Moscow" UMI 2615 CNRS) and the Center of Advanced Research of The Skolkovo Institute of Science and Technology.
Received: 15.02.2018
Revised: 22.03.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 198, Issue 1, Pages 129–144
DOI: https://doi.org/10.1134/S0040577919010094
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: 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, 198:1 (2019), 145–161; Theoret. and Math. Phys., 198:1 (2019), 129–144
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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