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math.RT2026
Transferred -structures and a classification of binary brackets for finite-dimensional skew-gentle algebras
Zixu Li, Liyu Liu, Lingchao Meng
We construct a transferred -structure on the shifted Chouhy--Solotar cochain complex of a finite-dimensional skew-gentle algebra and give explicit basis-level formulas fo…
math.RT2024
A geometric realization of Koszul duality for graded gentle algebras
Zixu Li, Yu Qiu, Yu Zhou
We show that the Koszul functor of a homologically smooth graded gentle algebra can be realized as the half rotation in a geometric model. As a byproduct, we prove an intersection-…
math.RT2024
Mutation invariants of cluster algebras of rank 2
Zhichao Chen, Zixu Li
We consider the mutation invariants of cluster algebras of rank 2. We characterize the mutation invariants of finite type. Two examples are provided for the affine type and we prov…