Towards a Lie theory for vertex and conformal algebras
We introduce several definitions within the framework ofvertex and conformal algebras which are analogous to some importantconcepts of the classical Lie theory. Most importantly, we define vertexmanifolds, which correspond to the notion of Lie groups. We provesuitable vertex/conformal versions of a...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/146514 |
| Acceso en línea: | http://hdl.handle.net/11336/146514 |
| Access Level: | acceso abierto |
| Palabra clave: | Lie theory Conformal algebras Vertex algebras https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We introduce several definitions within the framework ofvertex and conformal algebras which are analogous to some importantconcepts of the classical Lie theory. Most importantly, we define vertexmanifolds, which correspond to the notion of Lie groups. We provesuitable vertex/conformal versions of a number of classical results suchas the Milnor-Moore theorem, Cartier duality, and Lie's third theoremfor nilpotent Lie algebras. |
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