On the Classification of Almost Square-Free Modular Categories
Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore group-theoretical. In the case where q = 2, we describe the structure of (...
| Autores: | , |
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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:11336/59995 |
| Acceso en línea: | http://hdl.handle.net/11336/59995 |
| Access Level: | acceso abierto |
| Palabra clave: | BRAIDED FUSION CATEGORY BRAIDED G-CROSSED FUSION CATEGORY GROUP-THEORETICAL FUSION CATEGORY MODULAR CATEGORY TANNAKIAN CATEGORY https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore group-theoretical. In the case where q = 2, we describe the structure of (Formula presented.) in terms of equivariantizations of group-crossed braided fusion categories. |
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