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.

中文翻译：

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酷儿李超代数的Drinfeld Yangian。定义关系

摘要

奇异李超代数的Drinfeld Yangian被定义为扭曲多项式电流的李双超代数的量化。正在构建新的Drinfeld发电机系统的类似物。对于李超代数\（sq_ {1} \）的部分情况，证明了这种定义的Yangian和M. Nazarov之前使用Faddeev–Reshetikhin–Takhtadzhjan方法引入的Yangian是同构的。