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The Drinfeld Yangian of the Queer Lie Superalgebra. Defining Relations

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Abstract

Drinfeld Yangian of a queer Lie superalgebra is defined as the quantization of a Lie bisuperelgebra of twisted polynomial currents. An analogue of the new system of generators of Drinfeld is being constructed. It is proved for the partial case of Lie superalgebra \(sq_{1}\) that this so defined Yangian and the Yangian, introduced earlier by M. Nazarov using the Faddeev–Reshetikhin–Takhtadzhjan approach, are isomorphic.

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Funding

This note was partially prepared during author’s visit to IHES (Bures-sur-Ivette, France) and was supported by funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and the innovation program (QUASIFT grant agreement 677368).

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, 141701, Dolgoprudnyi, Moscow oblast, Russia

    V. A. Stukopin

  2. South Mathematical Institute, 362027, Vladikavkaz, 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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(Submitted by S. A. Grigoryan)

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Stukopin, V.A. The Drinfeld Yangian of the Queer Lie Superalgebra. Defining Relations. Lobachevskii J Math 41, 728–741 (2020). https://doi.org/10.1134/S1995080220040241

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