Crossed product tensor categories
Quantum Algebra
2015-10-12 v3 Category Theory
Abstract
A graded tensor category over a group will be called a crossed product tensor category if every homogeneous component has at least one multiplicatively invertible object. Our main result is a description of the crossed product tensor categories, graded monoidal functors, monoidal natural transformations, and braiding in terms of coherent outer -actions over tensor categories.
Cite
@article{arxiv.0911.0881,
title = {Crossed product tensor categories},
author = {César Galindo},
journal= {arXiv preprint arXiv:0911.0881},
year = {2015}
}
Comments
Diagram (3.1) and equation (3.2) were changed in order to include non trivial associativity constraints