On the stable equivalences between finite tensor categories
Quantum Algebra
2022-09-07 v2 Category Theory
Representation Theory
Abstract
We aim to study Morita theory for tensor triangulated categories. For two finite tensor categories having no projective simple objects, we prove that their stable equivalence induced by an exact -linear monoidal functor can be lifted to a tensor equivalence under some certain conditions.
Cite
@article{arxiv.2203.10549,
title = {On the stable equivalences between finite tensor categories},
author = {Yuying Xu and Gongxiang Liu},
journal= {arXiv preprint arXiv:2203.10549},
year = {2022}
}