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math.RT2026
The exceptional series through the fifth tensor power
Bruce Westbury
We give a uniform structure for the first five tensor powers of the adjoint representation of an exceptional simple Lie algebra.
math.RT2026
Cubic Jordan algebras are not a series
Bruce Westbury
The idea of the exceptional series is that the exceptional simple Lie algebras should form a series. Since all four simple Lie algebras in the fourth row of the Freudenthal magic s…