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arXiv · 1811.01000

On Perverse Equivalences and Rationality

Joseph Chuang·Radha Kessar
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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.

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Joseph Chuang, Radha Kessar. 2018-11-02. On Perverse Equivalences and Rationality. https://arxiv.org/abs/1811.01000

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