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In this paper, we show that the derived Picard group of a homologicallysmooth Koszul connected cochain DG algebra is isomorphic to the opposite groupof the derived Picard group of its finite dimensional local Ext-algebra. Asapplications, we compute the derived Picard groups of some important DGalgebras such as trivial DG polynomial algebras, trivial DG free algebras andseveral non-trivial DG down-up algebras and DG free algebras.

Derived Picard groups of homologically smooth Koszul DG algebras