English

Clifford theory for tensor categories

Quantum Algebra 2014-02-26 v2 Category Theory

Abstract

A graded tensor category over a group GG will be called a strongly GG-graded tensor category if every homogeneous component has at least one multiplicativily invertible object. Our main result is a description of the module categories over a strongly GG-graded tensor category as induced from module categories over tensor subcategories associated with the subgroups of GG.

Keywords

Cite

@article{arxiv.0902.1088,
  title  = {Clifford theory for tensor categories},
  author = {César Galindo},
  journal= {arXiv preprint arXiv:0902.1088},
  year   = {2014}
}

Comments

Final version.

R2 v1 2026-06-21T12:08:37.546Z