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Pré-Publication, Document De Travail Année : 2021

Some remarks on relative modular categories

Résumé

We study properties of relative modular categories and derive sufficient conditions for their existence. In particular, we derive sufficient conditions for relative pre-modular categories to be non-degenerate and relative modular, and for the quotient of categories taking a particular form by their ideal of negligible modules to be generically semi-simple.

Dates et versions

hal-04128169 , version 1 (14-06-2023)

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Nathan Geer, Bertrand Patureau-Mirand, Matthew Rupert. Some remarks on relative modular categories. 2021. ⟨hal-04128169⟩
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