English

Multifusion Categories and Finite Semisimple 2-Categories

Quantum Algebra 2023-01-10 v3 Category Theory

Abstract

We give a 3-universal property for the Karoubi envelope of a 2-category. Using this, we show that the 3-categories of finite semisimple 2-categories (as introduced in arXiv:1812.11933) and of multifusion categories are equivalent.

Keywords

Cite

@article{arxiv.2012.15774,
  title  = {Multifusion Categories and Finite Semisimple 2-Categories},
  author = {Thibault D. Décoppet},
  journal= {arXiv preprint arXiv:2012.15774},
  year   = {2023}
}

Comments

Minor corrections

R2 v1 2026-06-23T21:39:26.932Z