Graded level zero integrable representations of affine Lie algebras
| dc.creator | Chari, Vyjayanthi | |
| dc.creator | Greenstein, Jacob | |
| dc.date | 2006-02-23 | |
| dc.date | 2006-07-30 | |
| dc.date.accessioned | 2026-07-07T09:56:03Z | |
| dc.date.available | 2026-07-07T09:56:03Z | |
| dc.description | We study the structure of the category of integrable level zero representations with finite dimensional weight spaces of affine Lie algebras. We show that this category possesses a weaker version of the finite length property, namely that an indecomposable object has finitely many simple constituents which are non-trivial as modules over the corresponding loop algebra. Moreover, any object in this category is a direct sum of indecomposables only finitely many of which are non-trivial. We obtain a parametrization of blocks in this category. | |
| dc.description | 17 pages; referee's suggestions incorporated; main result extends to non-simply laced case | |
| dc.identifier | https://arxiv.org/abs/math/0602514 | |
| dc.identifier | http://arxiv.org/abs/math/0602514 | |
| dc.identifier | Trans. of the AMS 360 (2008), no. 6, 2923--2940 | |
| dc.identifier | doi:10.1090/S0002-9947-07-04394-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166848 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B37 | |
| dc.title | Graded level zero integrable representations of affine Lie algebras | |
| dc.type | text |