A conjectural presentation of fusion algebras
| dc.creator | Boysal, Arzu | |
| dc.creator | Kumar, Shrawan | |
| dc.date | 2008-02-21 | |
| dc.date.accessioned | 2026-07-07T09:22:17Z | |
| dc.date.available | 2026-07-07T09:22:17Z | |
| dc.description | 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. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0802.3035 | |
| dc.identifier | http://arxiv.org/abs/0802.3035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155324 | |
| dc.subject | Group Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 22E46, 22E67, 22E70 | |
| dc.title | A conjectural presentation of fusion algebras | |
| dc.type | text |