English

Weak Fusion 2-Categories

Quantum Algebra 2022-11-09 v2 Category Theory

Abstract

We introduce a weakening of the notion of fusion 2-category given in arXiv:1812.11933. Then, we establish a number of properties of (multi)fusion 2-categories. Finally, we describe the fusion rule of the fusion 2-categories associated to certain pointed braided fusion categories.

Keywords

Cite

@article{arxiv.2103.15150,
  title  = {Weak Fusion 2-Categories},
  author = {Thibault D. Décoppet},
  journal= {arXiv preprint arXiv:2103.15150},
  year   = {2022}
}

Comments

Minor corrections. previously part of arXiv:2012.15774v1

R2 v1 2026-06-24T00:37:30.860Z