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Pre-modular fusion categories of global dimensions
Zhiqiang Yu
Let be a prime, we show that a non-pointed modular fusion category is Grothendieck equivalent to if and only if $\d…
Modular tensor categories, subcategories, and Galois orbits
Julia Plavnik, Andrew Schopieray, Zhiqiang Yu +1
We establish a set of general results to study how the Galois action on modular tensor categories interacts with fusion subcategories. This includes a characterization of fusion su…
Pre-modular fusion categories of small global dimensions
Zhiqiang Yu
We first prove an analogue of Lagrange theorem for global dimensions of fusion categories, then we give a complete classifications of pre-modular fusion categories of integer globa…
Group-theoretical property of non-degenerate fusion categories of FP-dimension and
Zhiqiang Yu
In this paper, we show that non-degenerate fusion categories of FP-dimensions and are group-theoretical, where are odd primes, is a square-free integ…
On slightly degenerate fusion categories
Zhiqiang Yu
In this paper, we first show for a slightly degenerate pre-modular fusion category that squares of dimensions of simple objects divide half of the dimension of $\math…