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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 3, Pages 53–63
(Mi vmj394)
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On representations of Yangian of Lie superalgebra $\mathfrak{sl}(1,2)$
V. A. Stukopinab
a Don State Technical University, Rostov-on-Don, Russia
b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
Abstract:
The finite-dimensional irreducible representations of Yangian of Lie superalgebra $\mathfrak{sl}(1,2)$. The necessary and sufficiently conditions of irreducibility of finite-dimensional representations are formulated and proved.
Key words:
Yangian of Lie superalgebra, irreducible representations, Drinfeld polynomial, simple module.
Received: 29.07.2010
Citation:
V. A. Stukopin, “On representations of Yangian of Lie superalgebra $\mathfrak{sl}(1,2)$”, Vladikavkaz. Mat. Zh., 13:3 (2011), 53–63
Linking options:
https://www.mathnet.ru/eng/vmj394 https://www.mathnet.ru/eng/vmj/v13/i3/p53
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| Abstract page: | 471 | | Full-text PDF : | 88 | | References: | 71 | | First page: | 1 |
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