3 papers
math.RT2026
Auslander-Reiten (n+2)-angles and local finiteness
Jian He, Yu-Zhe Liu, Panyue Zhou
Let be an -angulated category. Zhou proved that, when is odd, if the Auslander-Reiten -angles generate the relations for the Grothendieck group of $\…
math.RT2026
Quasi-abelian quotients in extriangulated categories
Yu Liu, Yu-Zhe Liu, Panyue Zhou
Let be an extriangulated category. Motivated by the theory of hereditary algebras, we introduce the notion of a hereditary-type subcategor…
math.RT2024
The Orlov spectra of abelian categories
Junling Zheng, Yu-Zhe Liu
We introduced the notion of Orlov spectra of Abelian categories, and study its some properties. In particular, we give precise result of Orlov spectra of algebras with type $\mathb…