174 citations · 382 across the 30 of their papers we have counts for
32 papers
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…
Representations of Hecke algebras and Markov dualities for interacting particle systems
Alexander Povolotsky, Pavel Pyatov, Roger Tribe +2
Many continuous reaction-diffusion models on (annihilating or coalescing random walks, exclusion processes, voter models) admit a rich set of Markov duality functions…
A universal plane of diagrammatic categories
Bruce W. Westbury
We introduce quantum skein relations for a family of ribbon categories parametrised by the projective plane over $\bQ$. There are thirteen points for which the ribbon category admi…
Quantum diagrammatics for
Alistair Savage, Bruce W. Westbury
We introduce a graphical calculus for the representation theory of the quantized enveloping algebra of type . We do this by giving a diagrammatic description of the category o…