2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122707In this paper, we give a purely cohomological interpretation of the extension problem for (super) Lie algebras; that is the problem of extending a Lie algebra by another Lie algebra. We then give a similar interpretation of infinitesimal deformations of extensions. In particular, we consider infinitesimal deformations of representations of a Lie algebra.25 pagesRepresentation Theory17B56 (primary) 12F05 (secondary)text