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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2005 Volume 46, Number 4, Pages 901–906 (Mi smj1013)
This article is cited 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

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.

UDC: 512.554

Received: 30.12.2004


 English version: Siberian Mathematical Journal, 2005, 46:4, 717–721

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© Steklov Math. Inst. of RAS, 2024