Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
| dc.creator | Fuchs, Dmitry | |
| dc.creator | Wilmarth, Constance | |
| dc.date | 2008-06-11 | |
| dc.date | 2008-08-27 | |
| dc.date.accessioned | 2026-07-07T09:58:22Z | |
| dc.date.available | 2026-07-07T09:58:22Z | |
| dc.description | We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of $sl_{2}$ (Theorem 3). The formula is derived from a more general but less explicit formula due to Feigin, Fuchs and Malikov [Funct. Anal. Appl. 20 (1986), no. 2, 103-113]. In the simpler case of $A_{1}^{1}$ the formula was obtained in [Fuchs D., Funct. Anal. Appl. 23 (1989), no. 2, 154-156]. | |
| dc.description | This is a contribution to the Special Issue on Kac-Moody Algebras and Applications, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0806.1976 | |
| dc.identifier | http://arxiv.org/abs/0806.1976 | |
| dc.identifier | SIGMA 4 (2008), 059, 11 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167693 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B67, 22E47 | |
| dc.title | Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras | |
| dc.type | text |