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Some remarks on relative modular categories

Published 29 Oct 2021 in math.RT, math.CT, and math.QA | (2110.15518v1)

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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