Vertex algebras generated by Lie algebras
| dc.creator | Primc, Mirko | |
| dc.date | 1999-01-22 | |
| dc.date.accessioned | 2026-07-07T05:27:37Z | |
| dc.date.available | 2026-07-07T05:27:37Z | |
| dc.description | In this paper we introduce a notion of vertex Lie algebra U, in a way a "half" of vertex algebra structure sufficient to construct the corresponding local Lie algebra L(U) and a vertex algebra V(U). We show that we may consider U as a subset of V(U) which generates V(U) and that the vertex Lie algebra structure on U is induced by the vertex algebra structure on V(U). Moreover, for any vertex algebra V a given homomorphism from U to V of vertex Lie algebras extends uniquely to a homomorphism from V(U) to V of vertex algebras. In the second part of paper we study under what conditions on structure constants one can construct a vertex Lie algebra U by starting with a given commutator formula for fields. | |
| dc.description | 38 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/9901095 | |
| dc.identifier | http://arxiv.org/abs/math/9901095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77987 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B69 (Primary) | |
| dc.title | Vertex algebras generated by Lie algebras | |
| dc.type | text |