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.
Tits construction of the exceptional simple Lie algebras
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
The classical Tits construction of the exceptional simple Lie algebras has been extended in a couple of directions by using either Jordan superalgebras or composition superalgebras. These extensions are reviewed here. The outcome has been the discovery of some new simple modular Lie superalgebras.
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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.