Explicit formula for the bracket of E8 based on triality and oct-octonions, with descriptions of E6, E7 subalgebras and the 26-dimensional irreducible representation of F4.
Freudenthal, Oktaven, Ausnahmegruppen und Oktavengeometrie
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The bracket of the exceptional Lie algebra E8
Explicit formula for the bracket of E8 based on triality and oct-octonions, with descriptions of E6, E7 subalgebras and the 26-dimensional irreducible representation of F4.