**Publication status:** appeared in Algebras and Representation
Theory 7 (2004), 53-57.

**Abstract:**

Let A be a finite dimensional algebra over an algebraically

closed field K. The derived Picard group DPic(A) is the group of

two-sided tilting complexes over A modulo isomorphism. We prove

that DPic(A) is a locally algebraic group, and its identity

component is Out^0(A). If B is a derived Morita equivalent algebra

then DPic(A) is isomorphisc to DPic(B) as locally algebraic

groups. Our results extend, and our based on, work of

Huisgen-Zimmermann and Saorin.

**Electronic Preprint:**

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(updated 25 March 2004)