Group Theory in Physics: Supersymmetries and Infinite-Dimensional Algebras

Recent devopments, particularly in high-energy physics, have projected group theory and symmetry consideration into a central position in theoretical physics. These developments have taken physicists increasingly deeper into the fascinating world of pure mathematics. This work presents important mathematical developments of the last fifteen years in a form that is easy to comprehend and appreciate.

Contents of Volume I. Contents of Volume II. Lie Superalgebras, Lie Supergroups, and Their Applications: Introduction to Superalgebras and Supermatrices. General Properties of Lie Superalgebras. Superspace and Lie Supergroups. The Poincar*aae Superalgebras and Supergroups. Poincar*aae Supersymmetric Fields. Simple Lie Superalgebras. Infinite-Dimensional Lie Algebras and Superalgebras and their Applications: The Structure of Kac-Moody Algebras. Representations of Kac-Moody Algebras. The Virasoro Algebra and Superalgebras. Algebraic Aspects of the Theory of Strings and Superstrings. Appendices: Proofs of Certain Theorems on Su