2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68860We interpret Hochschild cohomology as the Lie algebra of the derived Picard group (in the sense of Rouquier-Zimmermann and Yekutieli) and deduce that it is preserved under derived equivalences.15 pages, accepted for publication in JPAAK-Theory and HomologyAlgebraic Geometry16E40text