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arXiv · 2504.16513

The bracket of the exceptional Lie algebra E8

Andreas Kollross
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Abstract

We obtain an explicit formula for the bracket of the exceptional simple Lie algebra E8 based on triality and oct-octonions, following the Barton-Sudbery description of E8. Furthermore, we provide descriptions of the subalgebras E6 and E7 and prove an explicit formula for the 26-dimensional irreducible representation of F4.

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Andreas Kollross. 2026-05-16. The bracket of the exceptional Lie algebra E8. https://arxiv.org/abs/2504.16513

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