Dual pairs and tensor categories of modules over Lie algebras gl_{\infty} and W_{1 +\infty}
| dc.creator | Wang, Weiqiang | |
| dc.date | 1997-09-23 | |
| dc.date.accessioned | 2026-07-07T09:17:42Z | |
| dc.date.available | 2026-07-07T09:17:42Z | |
| dc.description | We introduce a tensor category O_+ (resp. O_{-}) of certain modules of gl_{\infty} with non-negative (resp. non-positive) integral central charges with the usual tensor product. We also introduce a tensor category O_f consisting of certain modules over GL(N) for all N. We show that the tensor categories O_+, O_{-} and O_f are semisimple abelian and all equivalent to each other. We give a formula to decompose a tensor product of two modules in each of these categories. We also introduce a tensor category O^w of certain modules over W_{1 +\infty} with non-negative integral central charges. We show that O^w is semisimple abelian and give an explicit formula to decompose a tensor product of two modules in O^w. | |
| dc.description | Latex, 20 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9709034 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9709034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153761 | |
| dc.subject | Quantum Algebra | |
| dc.title | Dual pairs and tensor categories of modules over Lie algebras gl_{\infty} and W_{1 +\infty} | |
| dc.type | text |