On an analogue of a Brauer theorem for fusion categories
In this paper we prove an analogue of Brauer’s theorem for faithful objects in fusion categories. Other notions, such as the order and the index associated to faithful objects of fusion categories are also discussed. We show that the index of a faithful simple object of a fusion categories coincides...
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Veröffentlicht in: | Monatshefte für Mathematik 2016-11, Vol.181 (3), p.561-575 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper we prove an analogue of Brauer’s theorem for faithful objects in fusion categories. Other notions, such as the order and the index associated to faithful objects of fusion categories are also discussed. We show that the index of a faithful simple object of a fusion categories coincides to the order of the universal grading group of the fusion category. |
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ISSN: | 0026-9255 1436-5081 |
DOI: | 10.1007/s00605-016-0881-5 |