Equivariant categories from categorical group actions on monoidal categories
Quantum Algebra
2013-05-06 v1
Abstract
G-equivariant modular categories provide the input for a standard method to construct 3d homotopy field theories. Virelizier constructed a G-equivariant category from the action of a group G on a Hopf algebra H by Hopf algebra automorphisms. The neutral component of his category is the Drinfeld center of the category of H-modules. We generalize this construction to weak actions of a group G on an arbitrary monoidal category C by (possibly non-strict) monoidal auto-equivalences and obtain a G-equivariant category with neutral component the Drinfeld center of C.
Cite
@article{arxiv.1305.0679,
title = {Equivariant categories from categorical group actions on monoidal categories},
author = {Alexander Barvels},
journal= {arXiv preprint arXiv:1305.0679},
year = {2013}
}
Comments
27 pages, many figures