Derived dimension conjecture for tame derived representation type

Let AA be a finite dimensional algebra of tame derived representation type.

Derived dimension conjecture. The derived dimension of AA satisfies

der.dim(A)=1.\mathsf{der.\dim}(A)=1.

This places tame derived representation type at the smallest positive derived dimension. The supplied text gives no evidence resolving the claim, so its status remains open.

Sources & referencesView supporting material

Primary source

Igor Burban and Yuriy Drozd, “On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems”, arXiv:1706.08358 (2017).

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