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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^…