Quantized Reductions and Irreducible Representations of W-Algebras
| dc.creator | Arakawa, Tomoyuki | |
| dc.date | 2004-03-27 | |
| dc.date | 2004-05-11 | |
| dc.date.accessioned | 2026-07-07T05:06:49Z | |
| dc.date.available | 2026-07-07T05:06:49Z | |
| dc.description | We study the representations of the W-algebra W(g) associated to an arbitrary finite-dimensional simple Lie algebra g via the quantized Drinfeld-Sokolov reductions. The characters of irreducible representations with non-degenerate highest weights are expressed by Kazhdan-Lusztig polynomials. The irreduciblity conjecture of Frenkel, Kac and Wakimoto is proved completely for the "-" reduction and partially for the "+" reduction. In particular, the existence of the minimal series representations (= the modular invariant representations) of W(g) is proved. | |
| dc.description | 22 pages, fixed font problems | |
| dc.identifier | https://arxiv.org/abs/math/0403477 | |
| dc.identifier | http://arxiv.org/abs/math/0403477 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70622 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B69, 17b56 (Primary) 81R10, 81T40 (Secondary) | |
| dc.title | Quantized Reductions and Irreducible Representations of W-Algebras | |
| dc.type | text |