English

A categorification of the Cartan-Eilenberg formula

Representation Theory 2022-01-17 v2 Category Theory Group Theory

Abstract

We prove a categorification of the stable elements formula of Cartan and Eilenberg. Our formula expresses the derived category and the stable module category of a group as a bilimit of the corresponding categories for the pp-subgroups.

Keywords

Cite

@article{arxiv.2102.07554,
  title  = {A categorification of the Cartan-Eilenberg formula},
  author = {Jun Maillard},
  journal= {arXiv preprint arXiv:2102.07554},
  year   = {2022}
}

Comments

Accepted version, 26 pages

R2 v1 2026-06-23T23:10:14.494Z