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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 2, Pages 389–406 (Mi smj2428)  
This article is cited in 9 scientific papers (total in 9 papers)

Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0

A. P. Pozhidaevab, I. P. Shestakovac

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c University of São Paulo, São Paulo, Basil
Full-text PDF (366 kB) Citations (9)
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Abstract: We classify the central simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. As a corollary, we describe the Poisson brackets on the simple finite-dimensional Jordan superalgebras of characteristic 0.
Keywords: noncommutative Jordan superalgebra, Poisson bracket, simple superalgebra, Grassmann superalgebra.
Received: 14.02.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 2, Pages 301–316
DOI: https://doi.org/10.1134/S0037446613020134
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
Citation: A. P. Pozhidaev, I. P. Shestakov, “Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0”, Sibirsk. Mat. Zh., 54:2 (2013), 389–406; Siberian Math. J., 54:2 (2013), 301–316
Citation in format AMSBIB
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\issue 2
\pages 389--406
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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