3 papers
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…
math.RT2025
A uniform trigonometric R-matrix for the exceptional series
Bruce W. Westbury, Paul Zinn-Justin
The exceptional series is a finite list of points on a projective line with a simple Lie algebra attached to each point. This list of Lie algebras includes the five exceptional Lie…