4
views
0
recommends
+1 Recommend
0 collections
0
shares
• Record: found
• Abstract: found
• Article: found
Is Open Access

# Computing Modular Data for Pointed Fusion Categories

Preprint

,

### Read this article at

Bookmark
There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

### Abstract

A formula for the modular data of $$\mathcal{Z}(Vec^{\omega}G)$$ was given by Coste, Gannon and Ruelle in arXiv:arch-ive/0001158, but without an explicit proof for arbitrary 3-cocycles. This paper presents a derivation using the representation category of the quasi Hopf algebra $$D^{\omega}G$$. Further, we have written code to compute this modular data for many pairs of small finite groups and $$3$$-cocycles. This code is optimised using Galois symmetries of the $$S$$ and $$T$$ matrices. We have posted a database of modular data for the Drinfeld center of every Morita equivalence class of pointed fusion categories of dimension less than $$48$$.

### Most cited references8

• Record: found
• Abstract: not found
• Article: not found

### Practical graph isomorphism, II

(2014)
Bookmark
• Record: found
• Abstract: not found
• Article: not found

### On the Classification of Topological Field Theories

(2008)
Bookmark
• Record: found
• Abstract: not found
• Article: not found

### Remarks on Galois symmetry in rational conformal field theories

(1994)
Bookmark

### Author and article information

###### Journal
15 August 2018
###### Article
1808.05060

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

###### Custom metadata
18D10 (Primary), 18-04 (Secondary)
28 pages, 4 figures, 7 pages of appendices
math.QA math.CT

General mathematics, Algebra