… is ribbon-equivalent to the category of local modules of A, and, in case (ii), to the Drinfeld centre
of Ã. The category CA thus unifies these … Namely, we show that trC 4 is non-zero and that …

… thin skeletal categories, for instance, and with modules instead of … , in the sense of being
zero at parameters outside of a … of the module there that lie outside of the depicted square. Ever …

… 3.1, we obtain singlet module categories from the direct limit completion of the category of
\(C_1\)-cofinite Virasoro modules, and then we compute some fusion rules in Sect. 3.2. In Sect. …

… We define the module category which will be the focus of this paper. We also introduce useful
tools for the classification of modules and calculation of fusion products, including two free …

… In the language of category theory, a persistence module M … that a pfd persistence module
over a square is algebraically … Since Nh is mapped to zero on the last column of [1,n] × [1,m], …

… zero, we prove that every finite semisimple tensor category is … express the module category
CECmp C as modules over a … whose square is the Radford equivalence. When the tensor …

… of modular categories … modular category to be integral, N must be a perfect square. Observe
that, in order for a metaplectic modular category to be integral, N must be a perfect square. …

… Footnote 1 More precisely, we employ the term modular category in the non-semisimple
sense to denote a finite factorizable ribbon category. Then, let us use the notation \({\mathscr {C}}…

… of pivotal module category and develop the character theory for such a module category. …
Proof Suppose that there are non-zero C-module full subcategories M1 and M2 of M such …

… Finally, we examine categories enriched over persistence modules. We show that the … y^{a+c}\)
zero. We examine this coordinatewise as in Example 3.5 to obtain the answer above. …