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The derived Hall algebra of a graded gentle one-cycle algebra I: the triangle structure
Published 17 Oct 2025 in math.RT | (2510.15252v1)
Abstract: 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 certain infinite quivers of type $\mathbb{A}_\infty\infty$. As a consequence, it is shown that the triangle structure of such derived categories is uniquely determined by the underlying additive category.
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