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

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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 7 scientific papers (total in 7 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. Stukopin^abcd

^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 (7)

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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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Linking options:

https://www.mathnet.ru/eng/tmf9547

https://doi.org/10.4213/tmf9547

https://www.mathnet.ru/eng/tmf/v198/i1/p145

This publication is cited in the following 7 articles:

V. D. Volkov, V. A. Stukopin, “Gruppoid Veilya i ego deistvie na affinnom superyangiane”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 30, Zap. nauchn. sem. POMI, 532, POMI, SPb., 2024, 119–135
V. D. Volkov, V. A. Stukopin, “Affine super-Yangian and a quantum Weyl groupoid”, Theoret. and Math. Phys., 216:3 (2023), 1313–1325
V. A. Stukopin, “Quasi-triangular structures on the super-Yangian and quantum loop superalgebra and difference equations”, Theoret. and Math. Phys., 213:1 (2022), 1423–1440
V. A. Stukopin, “Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra”, Theoret. and Math. Phys., 204:3 (2020), 1227–1243
V. A. Stukopin, “Representation theory of the yangian of the lie superalgebra and the quantum loop superalgebra”, Phys. Part. Nuclei, 51:4 (2020), 474–478
V. A. Stukopin, “The Drinfeld yangian of the queer lie superalgebra. Defining relations”, Lobachevskii J. Math., 41:4, SI (2020), 728–741
Stukopin V., Xxvi International Conference on Integrable Systems and Quantum Symmetries, Journal of Physics Conference Series, 1416, IOP Publishing Ltd, 2019

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	445
Full-text PDF :	92
References:	48
First page:	16

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