Enhanced finite triangulated categories
We give a necessary and sufficient condition for the existence of an enhancement of a finite triangulated category. Moreover, we show that enhancements are unique when they exist, up to Morita equivalence.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/178223 |
| Acceso en línea: | https://hdl.handle.net/11441/178223 https://doi.org/10.1017/S1474748020000250 |
| Access Level: | acceso abierto |
| Palabra clave: | Triangulated category A-infinity category Hochschild cohomology Spectral sequence Obstruction theory |
| Sumario: | We give a necessary and sufficient condition for the existence of an enhancement of a finite triangulated category. Moreover, we show that enhancements are unique when they exist, up to Morita equivalence. |
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