%0 Journal Article
%T A conjectural presentation of fusion algebras
%A Arzu Boysal
%A Shrawan Kumar
%J Mathematics
%D 2008
%I arXiv
%X Let g be a semisimple Lie algebra over the complex numbers. Fix a positive integer l (called the level). Let R(l,g) be the fusion algebra at level l. Then, there is an algebra homomorphism from the representation ring R(g) of g to R(l,g). We study a presentation of its kernel. The generators for the kernel were given by Gepner, Gepner-Schwimmer, Bourdeau-Mlawer-Riggs-Schnitzer for g of type A and C series. We make a conjecture for other classical groups and also for g of type G2. We also have some partial results for F4 and E series.
%U http://arxiv.org/abs/0802.3035v1