Octonions and Super Lie algebra

Details Octonions and Super Lie algebra Octonions and Super Lie algebra

1997-03-24

arxiv.org/abs/hep-th/9703162v2

Int.J.Mod.Phys. A13 (1998) 223-232

Physics

High Energy Physics

High Energy Physics - Theory

RevTex file, 12 pages, to be published in Int. J. of Mod. Phys. A; Some references added

Scientific paper

10.1142/S0217751X98000093

We discuss how to represent the non-associative octonionic structure in terms of the associative matrix algebra using the left and right octonionic operators. As an example we construct explicitly some Lie and Super Lie algebra. Then we discuss the notion of octonionic Grassmann numbers and explain its possible application for giving a superspace formulation of the minimal supersymmetric Yang-Mills models.

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