English

Mackey functors from the viewpoint of double category theories

Group Theory 2026-03-18 v2 Category Theory Representation Theory

Abstract

Let GG be a finite group. In this paper, we first introduce a new notion, so-called the Mackey double category of GG. Then we prove that the category of Mackey double categories and the category of Mackey functors of GG are equivalent.

Keywords

Cite

@article{arxiv.2504.18065,
  title  = {Mackey functors from the viewpoint of double category theories},
  author = {Mawei Wu},
  journal= {arXiv preprint arXiv:2504.18065},
  year   = {2026}
}

Comments

There are some problems with the definition of Mackey double categories (Section 3.1)