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2019•Journal of Physics Conference SeriesOpen access

Drinfeld Yangian of the queer Lie superalgebra sq 1

Vladimir Alekseevich Stukopin

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Abstract

Drinfeld Yangian of a queer Lie superalgebra sq 1 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 case Lie superalgebra sq 1 that this so defined Yangian and the Yangian, introduced earlier by M. Nazarov using the FaddeevReshetikhin-Takhtadzhjan approach, are isomorphic. Mathematical Subject Classification (2000). Primary 17B37; Secondary 81R50, 13F60.

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Drinfeld Yangian of a queer Lie superalgebra sq 1 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 case Lie superalgebra sq 1 that this so defined Yangian and the Yangian, introduced earlier by M. Nazarov using the FaddeevReshetikhin-Takhtadzhjan approach, are isomorphic. Mathematical Subject Classification (2000). Primary 17B37; Secondary 81R50, 13F60.

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Available abstract

Drinfeld Yangian of a queer Lie superalgebra sq 1 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 case Lie superalgebra sq 1 that this so defined Yangian and the Yangian, introduced earlier by M. Nazarov using the FaddeevReshetikhin-Takhtadzhjan approach, are isomorphic. Mathematical Subject Classification (2000). Primary 17B37; Secondary 81R50, 13F60.

Key concepts: Yangian, Lie superalgebra, Mathematics, Queer, Supermatrix, Pure mathematics, Algebra over a field, Superalgebra

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