Extremal weight modules of quantum affine algebras
| dc.creator | Nakajima, Hiraku | |
| dc.date | 2002-04-14 | |
| dc.date | 2002-04-24 | |
| dc.date.accessioned | 2026-07-07T04:47:42Z | |
| dc.date.available | 2026-07-07T04:47:42Z | |
| dc.description | Let $\ag$ be an affine Lie algebra, and let $\Ua$ be the quantum affine algebra introduced by Drinfeld and Jimbo. In [Kas94] Kashiwara introduced a $\Ua$-module $V(λ)$, having a global crystal base for an integrable weight $λ$ of level 0. We call it an {\it extremal weight module}. In [\S13]{Kas00} Kashiwara gave a conjecture on the structure of extremal weight modules. We prove his conjecture when $\ag$ is an untwisted affine Lie algebra of a simple Lie algebra $\g$ of type $ADE$, using a result of Beck-Chari-Pressley [BCP]. | |
| dc.description | 24 pages; Several ref's are added | |
| dc.identifier | https://arxiv.org/abs/math/0204183 | |
| dc.identifier | http://arxiv.org/abs/math/0204183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63816 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37 | |
| dc.title | Extremal weight modules of quantum affine algebras | |
| dc.type | text |