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The Drinfeld Yangian of the Queer Lie Superalgebra. Defining Relations

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… Click to show full abstract

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.

Keywords: queer lie; lie; drinfeld yangian; yangian queer; lie superalgebra

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2020

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