TY - GEN AU - Cahn, Robert N. TI - Semi-simple lie algebras and their representations SN - 9780486449999 U1 - 512.482 PY - 1984/// CY - New York PB - Dover Publications KW - Particles (Nuclear physics) KW - Representations of algebras KW - Lie algebras KW - Weyl group KW - Subalgebra N1 - Includes bibliography and index N2 - Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topics include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. https://store.doverpublications.com/0486449998.html ER -