Showing math.RTShow all
3 papers · 1 filter
math.RT2026
Auslander-Reiten-Serre duality revisited
Ji-Wei He, Jixing Pan
Let be an extriangulated category with a right Auslander-Reiten-Serre (ARS for short) duality in the sense of Iyama, Nakaoka and Pa…
math.RT2024
Relative cluster tilting theory and -tilting theory
Yu Liu, Jixing Pan, Panyue Zhou
Let be a Krull-Schmidt triangulated category with shift functor and be a rigid subcategory of . We are concerned with the mutation of tw…
math.RT2024
Silting interval reduction and 0-Auslander extriangulated categories
Jixing Pan, Bin Zhu
We give a reduction technique for silting intervals in extriangulated categories, which we call "silting interval reduction". It provides a reduction technique for tilting subcateg…