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Isomorphism of the Yangian Yħ(A(m, n)) of the Special Linear Lie Superalgebra and the Quantum Loop Superalgebra Uħ(LA(m, n))

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Abstract

Using the approach of Gautam and Toledano Laredo, we construct an explicit isomorphism of the Yangian Yħ(A(m, n)) of the special linear Lie superalgebra and the quantum loop superalgebra Uħ(LA(m, n)).

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Authors and Affiliations

  1. Don State Technical University, Rostov-on-Don, Russia

    V. A. Stukopin

  2. South Mathematical Institute, RAS, Vladikavkaz, Russia

    V. A. Stukopin

  3. Moscow Center for Continuous Mathematical Education, Poncelet Interdisciplinary Scientific Center, Moscow, Russia

    V. A. Stukopin

  4. The Skolkovo Institute of Science and Technology (Skoltech), Center of Advanced Research, Moscow, Russia

    V. A. Stukopin

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  1. V. A. Stukopin
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Correspondence to V. A. Stukopin.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 198, No. 1, pp. 145–161, January, 2019. Received February 15, 2018.

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Stukopin, V.A. Isomorphism of the Yangian Yħ(A(m, n)) of the Special Linear Lie Superalgebra and the Quantum Loop Superalgebra Uħ(LA(m, n)). Theor Math Phys 198, 129–144 (2019). https://doi.org/10.1134/S0040577919010094

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