## 6 Citations

### Computing the Group of Minimal Non-degenerate Extensions of a Super-Tannakian Category

- MathematicsCommunications in Mathematical Physics
- 2022

We prove an analog of the Künneth formula for the groups of minimal non-degenerate extensions (Lan et al. in Commun Math Phys 351:709–739, 2017) of symmetric fusion categories. We describe in detail…

### Reconstruction and local extensions for twisted group doubles, and permutation orbifolds

- Mathematics
- 2018

We prove the first nontrivial reconstruction theorem for modular tensor categories: the category associated to any twisted Drinfeld double of any finite group, can be realised as the representation…

### Third Cohomology and Fusion Categories

- Mathematics
- 2017

It was observed recently that for a fixed finite group $G$, the set of all Drinfeld centres of $G$ twisted by 3-cocycles form a group, the so-called group of modular extensions (of the representation…

### Braid group representations from braiding gapped boundaries of Dijkgraaf–Witten theories

- MathematicsPacific Journal of Mathematics
- 2019

We study representations of the braid groups from braiding gapped boundaries of Dijkgraaf-Witten theories and their twisted generalizations, which are (twisted) quantum doubled topological orders in…

### Conformal Net Realizability of Tambara-Yamagami Categories and Generalized Metaplectic Modular Categories

- Mathematics
- 2018

We show that all isomorphism classes of even rank Tambara-Yamagami categories arise as $\mathbb{Z}_2$-twisted representations of conformal nets. As a consequence, we show that their Drinfel'd centers…

## References

SHOWING 1-10 OF 14 REFERENCES

### The Witt group of non-degenerate braided fusion categories

- Mathematics
- 2010

Abstract We give a characterization of Drinfeld centers of fusion categories as non-degenerate braided fusion categories containing a Lagrangian algebra. Further we study the quotient of the monoid…

### Module categories over the Drinfeld double of a finite group

- Mathematics
- 2002

. We classify the module categories over the double (possibly twisted) of a ﬁnite group.

### Algebraic Aspects of Orbifold Models

- Mathematics
- 1993

: Algebraic properties of orbifold models on arbitrary Riemann surfaces are investigated. The action of mapping class group transformations and of standard geometric operations is given explicitly.…

### On braided fusion categories I

- Mathematics
- 2009

We introduce a new notion of the core of a braided fusion category. It allows to separate the part of a braided fusion category that does not come from finite groups. We also give a comprehensive and…

### Module categories, weak Hopf algebras and modular invariants

- Mathematics
- 2001

AbstractWe develop a theory of module categories over monoidal categories (this is a
straightforward categorization of modules over rings). As applications we show that any
semisimple monoidal…

### Correspondences of ribbon categories

- Mathematics
- 2003

Much of algebra and representation theory can be formulated in the general framework of tensor categories. The aim of this paper is to further develop this theory for braided tensor categories.…

### Homotopy field theory in dimension 2 and group-algebras

- Mathematics
- 1999

We apply the idea of a topological quantum field theory (TQFT) to maps from manifolds into topological spaces. This leads to a notion of a (d+1)-dimensional homotopy quantum field theory (HQFT) which…