Vertex operator algebras, generalized doubles and dual pairs
| dc.creator | Dong, C. | |
| dc.creator | Yamskulna, G. | |
| dc.date | 2000-06-01 | |
| dc.date.accessioned | 2026-07-07T04:35:39Z | |
| dc.date.available | 2026-07-07T04:35:39Z | |
| dc.description | Let V be a simple vertex operator algebra and G a finite automorphism group. Then there is a natural right G-action on the set of all inequivalent irreducible V-modules. Let S be a finite set of inequivalent irreducible V-modules which is closed under the action of G. There is a finite dimensional semisimple associative algebra A_α(G,S) for a suitable 2-cocycle αnaturally determined by the G-action on S such that A_α(G,S) and the vertex operator algebra V^G form a dual pair on the sum of V-modules in S in the sense of Howe. In particular, every irreducible V-module is completely reducible V^G-module. | |
| dc.description | Latex 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0006005 | |
| dc.identifier | http://arxiv.org/abs/math/0006005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59325 | |
| dc.subject | Quantum Algebra | |
| dc.title | Vertex operator algebras, generalized doubles and dual pairs | |
| dc.type | text |