OF VOLUME 2: The Role of Lie Algebras. Relationships between Lie Groups and Lie Algebras. The Three-Dimensional Rotation Groups. The Structure of Semi-Simple Lie Algebras. Semi-Simple Real Lie Algebras. Representations of Semi-Simple Lie Algebras and Groups. Developments of the Representation Theory. The Homogeneous Lorentz Groups and the Poincare Groups. Global Internal Symmetries of Elementary Particles.