Dong Yang

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math.RT2025

On the derived Hall algebra of a graded gentle one-cycle algebra I: the triangle structure

Hui Chen, Dong Yang

Under a mild condition, the perfect derived category and the finite-dimensional derived category of a graded gentle one-cycle algebra are described as twisted root categories of ce…

math.RT2025

From objects finitely presented by a rigid object in a triangulated category to 2-term complexes

Dong Yang

For a rigid object $M$ in an algebraic triangulated category $T$ , a functor pr $(M) \to H^{[- 1, 0]} (proj A)$ is constructed, which essentially takes an obje…

math.RT2025

Classification of silted algebras for two quivers of Dynkin type $A_{n}$

Zongzhen Xie, Dong Yang, Houjun Zhang

In this paper, we give a complete classification of silted algebras for the quiver $A_{n}$ of type $A_{n}$ with linear orientation and for the qu…

math.RT2024

On the Ringel--Hall algebra of the gentle one-cycle algebra $Λ (n - 1, 1, 1)$

Hui Chen, Dong Yang

It is shown that the gentle one-cycle algebra $Λ (n - 1, 1, 1)$ has Hall polynomials. The Hall polynomials are explicitly given for all triples of indecomposable modules, and as a conse…

On the derived Hall algebra of a graded gentle one-cycle algebra I: the triangle structure

From objects finitely presented by a rigid object in a triangulated category to 2-term complexes

Classification of silted algebras for two quivers of Dynkin type An​

On the Ringel--Hall algebra of the gentle one-cycle algebra Λ(n−1,1,1)

Classification of silted algebras for two quivers of Dynkin type $A_{n}$

On the Ringel--Hall algebra of the gentle one-cycle algebra $Λ (n - 1, 1, 1)$