Equivalence classes of exact module categories over graded tensor categories
Quantum Algebra
2020-04-10 v5 Category Theory
Abstract
We describe equivalence classes of exact indecomposable module categories over a finite graded tensor category. When applied to a pointed fusion category, our results coincide with the ones obtained in [S. Natale, On the equivalence of module categories over a group-theoretical fusion category, SIGMA, Symmetry Integrability Geom. Methods Appl. 13 Paper 042, 9 p. (2017)].
Cite
@article{arxiv.1711.06118,
title = {Equivalence classes of exact module categories over graded tensor categories},
author = {Adriana Mejía Castaño and Martín Mombelli},
journal= {arXiv preprint arXiv:1711.06118},
year = {2020}
}
Comments
34 pages. -Several errors were corrected