2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79494In this paper, we introduce two new families of infinite-dimensional simple Lie algebras and a new family of infinite-dimensional simple Lie superalgebras. These algebras can be viewed as generalizations of the Block algebras.31pages, Latex; To appear in Manuscripta MathematicaQuantum Algebratext