pith. sign in

arxiv: 1608.04435 · v3 · pith:5UMU7RRXnew · submitted 2016-08-15 · 🧮 math.QA

On the Equivalence of Module Categories over a Group-Theoretical Fusion Category

Sonia Natale This is my paper
classification 🧮 math.QA
keywords categoriesmodulecategoryfusiongroup-theoreticalclassificationcohomologyconcludes
0
0 comments X
read the original abstract

We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category ${\mathcal C}$ to be equivalent. This concludes the classification of such module categories.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Symmetry Spans and Enforced Gaplessness

    cond-mat.str-el 2026-02 unverdicted novelty 8.0

    Symmetry spans enforce gaplessness when a symmetry E embedded into two larger symmetries C and D has no compatible gapped phase that restricts from both.