3 papers
math.RT2026
Tilting mutation of gentle algebras and its combinatorial description
Difan Deng, Shengfei Geng, Pin Liu
Tilting mutation provides a natural way to construct derived-equivalent algebras by replacing an indecomposable summand of a tilting object. Holm, Schröer and Zimmermann~\cite{HSZ0…
math.RT2026
Geometric models for endomorphism algebras of tilting modules over gentle algebras
Difan Deng, Shengfei Geng, Pin Liu
This paper investigates tilting modules over gentle algebras and their endomorphism algebras within the framework of marked surfaces and tilings introduced by Baur and Simões. Fait…
math.RT2025
Intersection vectors over skew-tilings
Difan Deng, Shengfei Geng, Pin Liu
We prove that under a mild condition, a multiset of tagged permissible arcs over a skew-tiling is uniquely determined by its intersection vector. As an application, it is proved th…