Derived dimension conjecture for tame derived representation type

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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.

References

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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