Drinfeld Yangian of the queer Lie superalgebra. I

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 Lie superalgebra $s{q}_1$ that this so defined Yangian and the Yangian, introduced earlier by M. Nazarov using the Faddeev-Reshetikhin-Takhtadzhjan approach, are isomorphic.

25 pages

References in corpus (6)

• Dictionary on Lie Superalgebras
• Yangian of the Queer Lie Superalgebra
• Yangians and their applications
• Yangian of the Strange Lie Superalgebra of ${\mathbf{Q}}_{\mathbf{n}-1}$ Type, Drinfel'd Approach
• Quasideterminants and Casimir elements for the general Lie superalgebra
• Drinfeld Yangian of the queer Lie superalgebra. I

Cited by in corpus (1)

• Drinfeld Yangian of the queer Lie superalgebra. I