Abstract

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

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