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Algebra and Discrete Mathematics, 2009, Issue 3, Pages 94–101
(Mi adm138)
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This article is cited in 5 scientific papers (total in 5 papers)
RESEARCH ARTICLE
On speciality of Jordan brackets
Ivan. Shestakov Instituto de Matemática e Estatística,
Universidade de São Paulo,
São Paulo, Brasil
and
Sobolev Institute of Mathematics,
Novosibirsk, 630090, Russia
Abstract:
We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding
criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the
criterium. The question on its sufficiency remains open.
Keywords:
Jordan superalgebra, Jordan bracket, Poisson bracket, special algebra, Kantor double.
Received: 31.08.2009 Revised: 21.09.2009
Citation:
Ivan. Shestakov, “On speciality of Jordan brackets”, Algebra Discrete Math., 2009, no. 3, 94–101
Linking options:
https://www.mathnet.ru/eng/adm138 https://www.mathnet.ru/eng/adm/y2009/i3/p94
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Abstract page: | 224 | Full-text PDF : | 92 | First page: | 1 |
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