The Yangian of the strange Lie superalgebra and its quantum double

We construct the Yangian of the strange Lie superalgebra as a particular case of the general construction of a twisted Yangian. We describe a Poincaré-Birkhoff-Witt basis of the Yangian of the type-Q n Lie superalgebra and construct the quantum double of the Yangian of the type-Q 2 strange Lie super...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2013, Vol.174 (1), p.122-133
Main Author: Stukopin, V. A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Summary:We construct the Yangian of the strange Lie superalgebra as a particular case of the general construction of a twisted Yangian. We describe a Poincaré-Birkhoff-Witt basis of the Yangian of the type-Q n Lie superalgebra and construct the quantum double of the Yangian of the type-Q 2 strange Lie superalgebra.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-013-0010-8