Cohomology of vertex algebras
Let V be a vertex algebra and M a V-module. We define the first and second cohomology of V with coefficients in M, and we show that the second cohomology H2(V,M) corresponds bijectively to the set of equivalence classes of square-zero extensions of V by M. In the case that M=V, we show that the seco...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/186010 |
| Acceso en línea: | http://hdl.handle.net/11336/186010 |
| Access Level: | acceso abierto |
| Palabra clave: | COHOMOLOGY VERTEX ALGEBRA https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let V be a vertex algebra and M a V-module. We define the first and second cohomology of V with coefficients in M, and we show that the second cohomology H2(V,M) corresponds bijectively to the set of equivalence classes of square-zero extensions of V by M. In the case that M=V, we show that the second cohomology H2(V,V) corresponds bijectively to the set of equivalence classes of first order deformations of V. |
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