2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59096Let 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 isomorphic to DPic(B) as locally algebraic groups. Our results extend, and our based on, work of Huisgen-Zimmermann, Saorin and Rouquier.4 pages, AMSLaTeX, to appear in Algebr. Represent. TheoryRings and AlgebrasAlgebraic GeometryRepresentation Theory16D90 (Primary); 16G10, 18E30, 20G15 (Secondary)text