On the fermionc formula and the Kirillov-Reshetikhin conjecture
| dc.creator | Chari, Vyjayanthi | |
| dc.date | 2000-06-12 | |
| dc.date | 2000-12-05 | |
| dc.date.accessioned | 2026-07-07T04:35:51Z | |
| dc.date.available | 2026-07-07T04:35:51Z | |
| dc.description | The fermionic formula conjectured by Kirillov and Reshetikhin describes the decomposition (as a module for $U_q(\frak g)$) of a tensor product of multiples of of fundamental representations $W(mλ_i)$ of the corresponding quantum affine algebras. In this paper, we show that the conjecture is true for the modules W(mλ_i), if $i$ is such that the corresponding simple root occurs in the highest root of the simple Lie algebra with multiplicity at most 2. In particular, the conjecture is established for all but a few nodes for the exceptional algebras. | |
| dc.description | The paper has been extensively rewritten and now includes a proof in the case of non--simply laced algebras as well | |
| dc.identifier | https://arxiv.org/abs/math/0006090 | |
| dc.identifier | http://arxiv.org/abs/math/0006090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59399 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 17B37 | |
| dc.title | On the fermionc formula and the Kirillov-Reshetikhin conjecture | |
| dc.type | text |