OCTONIONS AND SUPER-LIE ALGEBRA

DOI10.1142/S0217751X98000093zbMath0923.17026arXivhep-th/9703162WikidataQ115246248 ScholiaQ115246248MaRDI QIDQ4259606

Khaled Abdel-Khalek

Publication date: 31 August 1999

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9703162

zbMATH Keywords

nonassociative octonionic structureoctonionic Grassmann numbers

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Alternative rings (17D05) Nonassociative division algebras (17A35)

Cites Work

• Self-dual Yang--Mills fields in \(d=7, 8\), octonions and Ward equations
• \(S^ 7\) and \({\widehat {S^ 7}}\)
• Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion
• Quark structure and octonions
• Octonionic representations of GL(8,ℛ) and GL(4,𝒞)

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