A 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.Comment: 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