Annihilating fields of standard modules of sl(2,C)~ and combinatorial identities
| dc.creator | Meurman, Arne | |
| dc.creator | Primc, Mirko | |
| dc.date | 1998-06-19 | |
| dc.date.accessioned | 2026-07-07T05:25:07Z | |
| dc.date.available | 2026-07-07T05:25:07Z | |
| dc.description | We show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde\goth g$ we construct the corresponding level $k$ vertex operator algebra and we show that level $k$ highest weight $\tilde\goth g$-modules are modules for this vertex operator algebra. We determine the set of annihilating fields of level $k$ standard modules and we study the corresponding loop $\tilde\goth g$ module---the set of relations that defines standard modules. In the case when $\tilde\goth g$ is of type $A_1^{(1)}$, we construct bases of standard modules parameterized by colored partitions and, as a consequence, we obtain a series of Rogers-Ramanujan type combinatorial identities. | |
| dc.description | 83 pages, amstex | |
| dc.identifier | https://arxiv.org/abs/math/9806105 | |
| dc.identifier | http://arxiv.org/abs/math/9806105 | |
| dc.identifier | Memoirs Amer. Math. Soc., No. 652, 1999 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77063 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B67 (Primary) 05A19 (Secondary) | |
| dc.title | Annihilating fields of standard modules of sl(2,C)~ and combinatorial identities | |
| dc.type | text |