3 papers
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.RT2024
On the Ringel--Hall algebra of the gentle one-cycle algebra
Hui Chen, Dong Yang
It is shown that the gentle one-cycle algebra has Hall polynomials. The Hall polynomials are explicitly given for all triples of indecomposable modules, and as a conse…
math.RT2022
On Riedtmann's Lie algebra of the gentle one-cycle algebra
Hui Chen, Dong Yang
An extended version of Riedtmann's Lie algebra of the gentle one-cycle algebra is computed and is shown to admit a Cartan decomposition by the positive roots of the ro…