4 papers
math.RT2026
Ideal filtrations and stabilization in alternating HRS tilting
Zhe Han, Ping He
We prove that the realization functors obtained by alternating forward and backward HRS tilts of any torsion pair over a finite-dimensional algebra are equivalences from some step…
math.RT2026
From Pre-triangulation to Triangulation: Obstructions and Exact Lifting
Ping He, Bo Le
We give a new equivalent formulation of Verdier's octahedral axiom. An initial square in a pre-triangulated category determines an obstruction in a quotient of ordinary Hom groups.…
math.RT2024
Serre functor and torsion pairs
Zhe Han, Ping He
Given a torsion pair in an abelian category and its Happel-Reiten-Smalø tilt , the equivalence of the realization functor $D^…
math.CO2023
Cluster braid groups of Coxeter-Dynkin diagrams
Zhe Han, Ping He, Yu Qiu
Cluster exchange groupoids are introduced by King-Qiu as an enhancement of cluster exchange graphs to study stability conditions and quadratic differentials. In this paper, we intr…