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- W83526568 abstract "The purpose of this study is to extend the concept of a generalized Lie $3-$ algebra, known to the divisional algebra of the octonions $mathbb{O}$, to split-octonions $mathbb{SO}$, which is non-divisional. This is achieved through the unification of the product of both of the algebras in a single operation. Accordingly, a notational device is introduced to unify the product of both algebras. We verify that $mathbb{SO}$ is a Malcev algebra and we recalculate known relations for the structure constants in terms of the introduced structure tensor. Finally we construct the manifestly super-symmetric $mathcal{N}=1;mathbb{SO}$ affine super-algebra. An application of the split Lie $3-$algebra for a Bagger and Lambert gauge theory is also discussed." @default.
- W83526568 created "2016-06-24" @default.
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- W83526568 date "2010-04-23" @default.
- W83526568 modified "2023-09-27" @default.
- W83526568 title "Split-octonion Lie 3-algebra" @default.
- W83526568 hasPublicationYear "2010" @default.
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