45 citations · 89 across the 5 of their papers we have counts for
5 papers
Fusion rules and the Patera-Sharp generating-function method
L. Begin, C. Cummins, P. Mathieu +1
We review some contributions on fusion rules that were inspired by the work of Sharp, in particular, the generating-function method for tensor-product coefficients that he develope…
Fusion bases for affine Lie algebras
Luc Begin, Chris Cummins, P. Mathieu
Fusion coefficients for affine Lie algebras are fixed by the corresponding tensor-product coefficients and a set of threshold levels. It is shown how the information concerning the…
Generating-function method for fusion rules
L. Begin, C. Cummins, P. Mathieu
This is the second of two articles devoted to an exposition of the generating-function method for computing fusion rules in affine Lie algebras. The present paper focuses on fusion…
Berenstein-Zelevinsky triangles, elementary couplings and fusion rules
L. Begin, Anatol N. Kirillov, P. Mathieu +1
We present a general scheme for describing su(N)_k fusion rules in terms of elementary couplings, using Berenstein-Zelevinsky triangles. A fusion coupling is characterized by its c…
su(3)k fusion coefficients
L. Begin, P. Mathieu, M. A. Walton
A closed and explicit formula for all $\su{(3)}_k$ fusion coefficients is presented which, in the limit , turns into a simple and compact expression for the $…