Cohomological Mackey 2-functors
Category Theory
2024-09-10 v3 Group Theory
Representation Theory
Abstract
We show that the bicategory of finite groupoids and right-free permutation bimodules is a quotient of the bicategory of Mackey 2-motives introduced in arXiv:1808.04902, obtained by modding out the so-called cohomological relations. This categorifies Yoshida's Theorem for ordinary cohomological Mackey functors, and provides a direct connection between Mackey 2-motives and the usual blocks of representation theory.
Cite
@article{arxiv.2103.03974,
title = {Cohomological Mackey 2-functors},
author = {Paul Balmer and Ivo Dell'Ambrogio},
journal= {arXiv preprint arXiv:2103.03974},
year = {2024}
}
Comments
A few remaining typos corrected in journal proofs. 28 pages, final version, to appear in J. Inst. Math. Jussieu