论文标题
Iyama的更高的Auslander信函通过基本的同源理论
Iyama's higher Auslander correspondence via the homological theory of idempotent ideals
论文作者
论文摘要
代表理论的著名结果是高度澳大利亚的信件。令$λ$ a artin代数和$ x $ a $ d $ - 集体倾斜模块。 Iyama表明，$ x $的内态戒指$γ$是A $ D $ - Auslander代数，此外，这给出了$ D $ -D $ -Cluster-cluster-tilting模块和$ d $ d $ -Auslander代数。我们使用Auslander-Platzeck--Todorov的同源理想的同源理论提出了独立和简洁的证明。
A celebrated result in representation theory is that of higher Auslander correspondence. Let $Λ$ an Artin algebra and $X$ a $d$-cluster-tilting module. Iyama has shown that the endomorphism ring $Γ$ 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.
