2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74337We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie algebras graded by finite root systems.35 pagesRepresentation TheoryRings and Algebras17B40 (Primary) 17A36, 17B67 (Secondary)text