Octonionic representations of GL(8,ℛ) and GL(4,𝒞)

DOI10.1063/1.531879zbMath0880.22008arXivhep-th/9607140OpenAlexW2953105881MaRDI QIDQ4338334

Khaled Abdel-Khalek, Stefano De Leo

Publication date: 3 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9607140

zbMATH Keywords

Clifford algebraquaternionic algebraoctonionic representationoctonionic algebraoctonionic barred operators

Mathematics Subject Classification ID

Related Items (10)

Generations: three prints, in colour ⋮ An octonionic formulation of the M-theory algebra ⋮ Analytic plane wave solutions for the quaternionic potential step ⋮ UNIFIED OCTONIONIC REPRESENTATION OF THE 10–13 DIMENSIONAL CLIFFORD ALGEBRA ⋮ OCTONIONS AND SUPER-LIE ALGEBRA ⋮ On Goldman bracket for \(G_{2}\) gauge group ⋮ Quaternionic eigenvalue problem ⋮ Spin angular momentum of proton spin puzzle in complex octonion spaces ⋮ \(\mathbb{R} \otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}\)-valued gravity as a grand unified field theory ⋮ Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra

Cites Work

• Quaternions for GUTs
• Lie groups in the foundations of geometry
• Absolute valued real algebras
• A ONE-COMPONENT DIRAC EQUATION
• On the parallelizability of the spheres
• NON-PARALLELIZABILITY OF THE n-SPHERE FOR n > 7
• A bimodular representation of ten-dimensional fermions
• Quaternions and special relativity
• The Exceptional Simple Lie Algebras F ₄ and E ₆

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