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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 174, Number 1, Pages 140–153
DOI: https://doi.org/10.4213/tmf8353 (Mi tmf8353) 		 
This article is cited in 8 scientific papers (total in 8 papers)

The Yangian of the strange Lie superalgebra and its quantum double

V. A. Stukopinab

a Southern Mathematical Institute, CRC, RAS, Vladikavkaz, Russia
b Don State University for Technology, Rostov-on-Don, Russia
Full-text PDF (468 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8353
Abstract: 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.
Keywords: Yangian of a Lie superalgebra, strange Lie superalgebra, quantum double, Poincaré–Birkhoff–Witt basis.
English version:
Theoretical and Mathematical Physics, 2013, Volume 174, Issue 1, Pages 122–133
DOI: https://doi.org/10.1007/s11232-013-0010-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Stukopin, “The Yangian of the strange Lie superalgebra and its quantum double”, TMF, 174:1 (2013), 140–153; Theoret. and Math. Phys., 174:1 (2013), 122–133
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8353
  • https://www.mathnet.ru/eng/tmf/v174/i1/p140
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:68
    First page:28
     
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