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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 4, Pages 901–906 (Mi smj1013)  
This article is cited in 2 scientific papers (total in 2 papers)

Root decomposition of the ternary Malcev algebra $M_8$

A. P. Pozhidaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (176 kB) Citations (2)
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Abstract: A root decomposition is constructed of the simple eight-dimensional ternary Malcev algebra $M_8$. In result, $M_8$ is equipped with a structure of a $Z_3$-graded ternary algebra.
Keywords: Malcev algebra, Filippov algebra, $n$-Lie algebra, composition algebra, $Z_3$-graded algebra, root decomposition.
Received: 30.12.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 4, Pages 717–721
DOI: https://doi.org/10.1007/s11202-005-0072-4
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: A. P. Pozhidaev, “Root decomposition of the ternary Malcev algebra $M_8$”, Sibirsk. Mat. Zh., 46:4 (2005), 901–906; Siberian Math. J., 46:4 (2005), 717–721
Citation in format AMSBIB
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\paper Root decomposition of the ternary Malcev algebra~$M_8$
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\transl
\jour Siberian Math. J.
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\vol 46
\issue 4
\pages 717--721
\crossref{https://doi.org/10.1007/s11202-005-0072-4}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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