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arXiv · hep-th/9607140

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

Stefano De Leo·Khaled Abdel-Khalek
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Abstract

Octonionic algebra being nonassociative is difficult to manipulate. We introduce left-right octonionic barred operators which enable us to reproduce the associative GL(8,R) group. Extracting the basis of GL(4,C), we establish an interesting connection between the structure of left-right octonionic barred operators and generic 4x4 complex matrices. As an application we give an octonionic representation of the 4-dimensional Clifford algebra.

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Stefano De Leo, Khaled Abdel-Khalek. 1996-07-18. Octonionic Representations of GL(8,R) and GL(4,C). https://doi.org/10.1063/1.531879

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