The Drinfeld Yangian of the Queer Lie Superalgebra. Defining Relations

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 that this so defined Yangian and the...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2020-04, Vol.41 (4), p.728-741
Main Author: Stukopin, V. A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Polynomials
Probability Theory and Stochastic Processes
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Summary: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 that this so defined Yangian and the Yangian, introduced earlier by M. Nazarov using the Faddeev–Reshetikhin–Takhtadzhjan approach, are isomorphic.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080220040241