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arXiv · 1906.08846

Octonions, Albert vectors and the group $\mathrm{E}_6(F)$

John N. Bray·Yegor Stepanov·Robert A. Wilson
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Abstract

We present a uniform approach to the construction of the groups of type $\mathrm{E}_6$ over arbitrary fields without using Lie theory. This gives a simple description of the group generators and some of the subgroup structure. In the finite case our approach also permits relatively straightforward computation of the group order.

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John N. Bray, Yegor Stepanov, Robert A. Wilson. 2019-06-20. Octonions, Albert vectors and the group $\mathrm{E}_6(F)$. https://doi.org/10.1080/00927872.2024.2321301

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