On Lagrangian algebras in group-theoretical braided fusion categories

We describe Lagrangian algebras in twisted Drinfeld centres for finite groups. Using the full centre construction, we establish a 1-1 correspondence between Lagrangian algebras and module categories over pointed fusion categories.

Saved in:
Bibliographic Details
Published in:Journal of algebra 2017-02, Vol.471, p.149-175
Main Authors: Davydov, Alexei, Simmons, Darren
Format: Article
Language:English
Subjects:
Braided fusion categories
Lagrangian algebras
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We describe Lagrangian algebras in twisted Drinfeld centres for finite groups. Using the full centre construction, we establish a 1-1 correspondence between Lagrangian algebras and module categories over pointed fusion categories.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2016.09.016