Let $B$ be the Auslander algebra of a representation-finite algebra $A$.



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> Question: When do we have $Ext\_B^1(D(B),B)=0$? Can this be expressed in terms of nice properties of $A$?
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This is for example true when $A$ is a hereditary Nakayama algebra, but other than for hereditary $A$ I do not know any example.



Which Auslander algebras satisfy $Ext_B^1(D(B),B)=0$?
I believe this is answered by Theorem 1.20 in the following article:
<https://arxiv.org/pdf/0809.4897.pdf>


