174 citations · 382 across the 30 of their papers we have counts for
10 papers · 1 filter
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.
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…
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…
Interpolating between promotion and the long cycle
Bruce W. Westbury
We give a new proof of the cyclic sieving phenomena for promotion on rectangular standard tableaux. This uses an action of the cactus groups in the seminormal bases of the irreduci…
Coboundary categories and local rules
Bruce W. Westbury
First we develop the theory of local rules for coboundary categories. Then we describe the local rules in two main cases. First for the quantum groups in general and in the seminor…
Extending and quantising the Vogel plane
Bruce W. Westbury
After introducing the Vogel plane we give the quantisation. Then we extend the Vogel plane to include certain symmetric spaces and give the quantisation of this extension.