The derived Hall algebra of a graded gentle one-cycle algebra I: the triangle structure
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 A∞∞. As a consequence, it is shown that the triangle structure of such derived categories is uniquely determined by the underlying additive category.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.