2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57939A brief review of the extremal projector method for Lie symmetries (Lie algebras and superalgebras as well as their quantum analogs) is given. A history of its discovery and some simplest applications are presented.14 pages, minor corrections, few references added. This version will be published in Contemporary Mathematics (Proc. of Conference on "Non-commutative Geometry in Mathematical Physics", Karshtad, July 2004)Mathematical PhysicsHigh Energy Physics - TheoryPrimary 81R50, Secondary 17B37, 16W35text