21 citations · 70 across the 13 of their papers we have counts for
14 papers
Realizing modular data from centers of near-group categories
Zhiqiang Yu, Qing Zhang
In this paper, we show the existence of a near-group category of type and compute the modular data of its Drinfeld cen…
The Condensed Fiber Product and Zesting
Colleen Delaney, César Galindo, Julia Plavnik +2
We introduce the condensed fiber product of two -crossed braided fusion categories, generalizing existing constructions in the literature. We show that this product is closely r…
Modular data of non-semisimple modular categories
Liang Chang, Quinn T. Kolt, Zhenghan Wang +1
We investigate non-semisimple modular categories with an eye towards a structure theory, low-rank classification, and applications to low dimensional topology and topological physi…
Product of Rankin-Selberg convolutions and a new proof of Jacquet's local converse conjecture
Pan Yan, Qing Zhang
In this article, we construct a family of integrals which represent the product of Rankin-Selberg -functions of and of $\mathrm{GL}_{l}\tim…
On near-group centers and super-modular categories
Eric C. Rowell, Hannah Solomon, Qing Zhang
The construction and classification of super-modular categories is an ongoing project, of interest in algebra, topology and physics. In a recent paper, Cho, Kim, Seo and You produc…
-crossed braided zesting
Colleen Delaney, César Galindo, Julia Plavnik +2
For a finite group , a -crossed braided fusion category is -graded fusion category with additional structures, namely a -action and a -braiding. We develop the notio…
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…
Modular categories with transitive Galois actions
Siu-Hung Ng, Yilong Wang, Qing Zhang
In this paper, we study modular categories whose Galois group actions on their simple objects are transitive. We show that such modular categories admit unique factorization into p…
Braided zesting and its applications
Colleen Delaney, César Galindo, Julia Plavnik +2
We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categor…
Higher central charges and Witt groups
Siu-Hung Ng, Eric C. Rowell, Yilong Wang +1
In this paper, we introduce the definitions of signatures of braided fusion categories, which are proved to be invariants of their Witt equivalence classes. These signature assignm…
Classification of super-modular categories
Paul Bruillard, Julia Yael Plavnik, Eric C. Rowell +1
We develop categorical and number theoretical tools for the classification of super-modular categories. We apply these tools to obtain a partial classification of super-modular cat…
Braid group representations from twisted tensor products of algebras
Paul Gustafson, Andrew Kimball, Eric C. Rowell +1
We unify and generalize several approaches to constructing braid group representations from finite groups, using iterated twisted tensor products. Our results hint at a relationshi…
Integral Metaplectic Modular Categories
Adam Deaton, Paul Gustafson, Leslie Mavrakis +5
A braided fusion category is said to have Property if the associated braid group representations factor over a finite group. We verify integral metaplectic modular cat…
Congruence Subgroups and Super-Modular Categories
Parsa Bonderson, Eric C. Rowell, Qing Zhang +1
A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. Super-modular categories are impor…