On Perverse Equivalences and Rationality
Representation Theory
2018-11-05 v1 Group Theory
Abstract
We show that perverse equivalences between module categories of finite-dimensional algebras preserve rationality. As an application, we give a connection between some famous conjectures from the modular representation theory of finite groups, namely Brou\'e's Abelian Defect Group conjecture and Donovan's Finiteness conjectures.
Cite
@article{arxiv.1811.01000,
title = {On Perverse Equivalences and Rationality},
author = {Joseph Chuang and Radha Kessar},
journal= {arXiv preprint arXiv:1811.01000},
year = {2018}
}