Derived categories of graded gentle one-cycle algebras

Published 7 Nov 2016 in math.RT | (1611.01903v4)

Abstract: Let $A$ be a graded algebra. It is shown that the derived category of dg modules over $A$ (viewed as a dg algebra with trivial differential) is a triangulated hull of a certain orbit category of the derived category of graded $A$-modules. This is applied to study derived categories of graded gentle one-cycle algebras.

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