The 2-Deligne Tensor Product
Quantum Algebra
2024-01-08 v2
Abstract
We prove that the 2-Deligne tensor product of two compact semisimple 2-categories exists. Further, under suitable hypotheses, we explain how to describe the -categories, connected components, and simple objects of a 2-Deligne tensor product. Finally, we prove that the 2-Deligne tensor product of two compact semisimple tensor 2-categories is a compact semisimple tensor 2-category.
Cite
@article{arxiv.2103.16880,
title = {The 2-Deligne Tensor Product},
author = {Thibault D. Décoppet},
journal= {arXiv preprint arXiv:2103.16880},
year = {2024}
}