Realization of level one representations of $U_q(\hat{\mathfrak g})$ at a root of unity
| dc.creator | Chari, Vyjayanthi | |
| dc.creator | Jing, Naihuan | |
| dc.date | 1999-09-21 | |
| dc.date.accessioned | 2026-07-07T05:30:49Z | |
| dc.date.available | 2026-07-07T05:30:49Z | |
| dc.description | Using vertex operators, we construct explicitly Lusztig's $\mathbb Z[q, q^{-1}]$-lattice for the level one irreducible representations of quantum affine algebras of ADE type. We then realize the level one irreducible modules at roots of unity and show that the q-dimension is still given by the Weyl-Kac character formula. As a consequence we also answer the corresponding question of realizing the affine Kac-Moody Lie algebras of simply laced type at level one in finite characteristic. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/9909118 | |
| dc.identifier | http://arxiv.org/abs/math/9909118 | |
| dc.identifier | Duke Math. J. 108 (2001), 183-197. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79125 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 17B | |
| dc.title | Realization of level one representations of $U_q(\hat{\mathfrak g})$ at a root of unity | |
| dc.type | text |