11 citations · 27 across the 7 of their papers we have counts for
7 papers
(2+)-replication and the Baby Monster
Chris Cummins, Rodrigo Matias
The definitions of replicable and completely replicable functions are intimately related to the Hecke operators for the modular group. We define the notions of "-replicable"…
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 as facets of polytopes
L. Bégin, C. Cummins, L. Lapointe +1
A new way of constructing fusion bases (i.e., the set of inequalities governing fusion rules) out of fusion elementary couplings is presented. It relies on a polytope reinterpretat…
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 tensor products
L. Bégin, C. Cummins, P. Mathieu
This is the first of two articles devoted to a exposition of the generating-function method for computing fusion rules in affine Lie algebras. The present paper is entirely devoted…
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…