Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories

Zhaoyong Huang, Xiaojin Zhang

For an Artinian $(n-1)$-Auslander algebra $\Lambda$ with global dimension $n(\ge 2)$, we show that if $\Lambda$ admits a trivial maximal $(n-1)$-orthogonal subcategory of $\mathrm{mod}\Lambda$, then $\Lambda$ is…