Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas
| dc.creator | Ardonne, Eddy | |
| dc.creator | Kedem, Rinat | |
| dc.date | 2006-02-09 | |
| dc.date | 2006-08-24 | |
| dc.date.accessioned | 2026-07-07T11:48:16Z | |
| dc.date.available | 2026-07-07T11:48:16Z | |
| dc.description | We give a complete description of the graded multiplicity space which appears in the Feigin-Loktev fusion product [FL99] of graded Kirillov-Reshetikhin modules for all simple Lie algebras. This construction is used to obtain an upper bound formula for the fusion coefficients in these cases. The formula generalizes the case of g=A_r [AKS06], where the multiplicities are generalized Kostka polynomials [SW99,KS02]. In the case of other Lie algebras, the formula is the the fermionic side of the X=M conjecture [HKO+99]. In the cases where the Kirillov-Reshetikhin conjecture, regarding the decomposition formula for tensor products of KR-modules, has been been proven in its original, restricted form, our result provides a proof of the conjectures of Feigin and Loktev regarding the fusion product multiplicites. | |
| dc.description | 22 pages; v2: minor changes; v3: exposition clarified | |
| dc.identifier | https://arxiv.org/abs/math/0602177 | |
| dc.identifier | http://arxiv.org/abs/math/0602177 | |
| dc.identifier | J.Algebra308:270-294,2007 | |
| dc.identifier | doi:10.1016/j.jalgebra.2006.08.024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202864 | |
| dc.subject | Representation Theory | |
| dc.title | Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas | |
| dc.type | text |