Simple Groups and Strong Interaction Symmetries

Abstract

A survey is presented of studies on symmetries in strong interactions of elementary particles, under the supposition that elementary particles may be thought of as linear representations of Lie groups. The Lie algebras of simple groups are reviewed, and attention is devoted to representation, composition and decomposition, and tensor analysis of Lie algebras and simple Lie groups. Illustrative applications of the Lie representations to several elementary particle schemes are outlined. (T.F.H.)