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Some remarks on relative modular categories

2021/10/29 by Nathan Geer, Geer, Nathan, Bertrand Patureau‐Mirand +3
Mathematics · Medicine · #Category Theory (math.CT) #FOS: Mathematics #Intracranial Aneurysms: Treatment and Complications #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings, Modules, and Algebras #Vascular Malformations Diagnosis and Treatment

paper · doi:10.48550/arxiv.2110.15518

openalex publication_date 2021/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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