174 citations · 382 across the 30 of their papers we have counts for
7 papers · 1 filter
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…
Recoupling theory for quantum spinors
Bruce W. Westbury
This paper extends the Birman-Wenzl category by including a spin representation and then developing the recoupling theory, following Cvitanovic. In particular this gives a q-analog…
R-matrices for the adjoint representations of Uq(so(n))
Deepak Parashar, Bruce W. Westbury
We calculate a two-parameter R-matrix which specialises to the trigonometric R-matrix of the minimal affinisation of the adjoint representation of each of the classical simple Lie…
Confluence Theory for Graphs
Adam S. Sikora, Bruce W. Westbury
We develop a theory of confluence of graphs. We describe an algorithm for proving that a given system of reduction rules for abstract graphs and graphs in surfaces is locally confl…
Invariant tensors for the spin representation of so(7)
Bruce W. Westbury
We construct a pivotal category by a finite presentation and show that it is an integral form of the category of invariant tensors of the spin representation of the quantum group U…
Representation theory for dilute lattice models
Bruce W Westbury
In this paper we study the representation theory of the algebras generated by the single bond transfer matrices in dilute lattice models. This representation theory is related to a…