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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 3, Pages 547–565
(Mi smj1980)
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This article is cited in 32 scientific papers (total in 32 papers)
$\delta$-derivations of classical Lie superalgebras
I. B. Kaygorodov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
We consider the $\delta$-derivations of classical Lie superalgebras and prove that these superalgebras admit nonzero $\delta$-derivations only when $\delta=0,\frac12,1$. The structure of $\frac12$-derivations for classical Lie superalgebras is completely determined.
Keywords:
$\delta$-derivation, Lie superalgebra.
Received: 05.03.2008
Citation:
I. B. Kaygorodov, “$\delta$-derivations of classical Lie superalgebras”, Sibirsk. Mat. Zh., 50:3 (2009), 547–565; Siberian Math. J., 50:3 (2009), 434–449
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https://www.mathnet.ru/eng/smj1980 https://www.mathnet.ru/eng/smj/v50/i3/p547
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Abstract page: | 490 | Full-text PDF : | 81 | References: | 51 | First page: | 7 |
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