Can I read Iyama's higher Auslander correspondence via the homological theory of idempotent ideals on EtoBox?

Iyama's higher Auslander correspondence via the homological theory of idempotent ideals by McMahon, Jordan is a scholarly article available to read on EtoBox.

What is Iyama's higher Auslander correspondence via the homological theory of idempotent ideals about?

A celebrated result in representation theory is that of higher Auslander correspondence. Let $\Lambda$ an Artin algebra and $X$ a $d$-cluster-tilting module. Iyama has shown that the endomorphism ring $\Gamma$ of $X$ is a $d$-Auslander algebra, and moreover this gives a correspondence between $d$-cluster-tilting modules and $d$-Auslander algebras. We present a self-contained and concise proof using the homological theory of idempotent ideals of Auslander--Platzeck--Todorov.

Author

McMahon, Jordan

Published

2020

Language

EN