1 citations · 4 across the 8 of their papers we have counts for
8 papers
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…
On the minimal extension and structure of weakly group-theoretical braided fusion categories
Victor Ostrik, Zhiqiang Yu
We show that any slightly degenerate weakly group-theoretical fusion category admits a minimal non-degenerate extension. Let be a positive square-free integer, given a weakly g…
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…
Categorical Morita equivalence and monoidal Morita equivalence of semisimple Hopf algebras of dimension pqr
Zhiqiang Yu
In this paper, we determine the cocycle deformations and Galois objects for semisimple Hopf algebras of dimension pqr, and decide the categorically Morita equivalent classes and mo…
Cocycle deformations and Galois objects of semisimple Hopf algebras of dimension
Rongchuan Xiong, Zhiqiang Yu
In this article, we determine cocycle deformations and Galois objects of non-commutative and non-cocommutative semisimple Hopf algebras of dimension . We show that these Hopf a…