Publications (82)
The Painlevé analysis for N=2 super KdV equations
S. Bourque, P. Mathieu
The Painlevé analysis of a generic multiparameter N=2 extension of the Korteweg-de Vries equation is presented. Unusual aspects of the analysis, pertaining to the presence of two…
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…
Bernstein operators and super-Schur functions: combinatorial aspects
L. Alarie-Vézina, O. Blondeau-Fournier, L. Lapointe +1
The Bernstein vertex operators, which can be used to build recursively the Schur functions, are extended to superspace. Four families of super vertex operators are defined, corresp…
K-processes, scaling limit and aging for the trap model in the complete graph
L. R. G. Fontes, P. Mathieu
We study K-processes, which are Markov processes in a denumerable state space, all of whose elements are stable, with the exception of a single state, starting from which the proce…
Crystallising the Depth Rule for WZNW Fusion Coefficients
A. N. Kirillov, P. Mathieu, D. Sénéchal +1
Motivated by a formula (due to Zelobenko) for finite Lie algebra tensor products, we propose a reformulation of the Gepner-Witten depth rule. Implementation of this rule remains di…
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…