This series of Encyclopedia volumes attempts to present the factual body of all mathematics.This series of Encyclopedia volumes attempts to present the factual body of all mathematics. Clarity of exposition and accessibility to the non-specialist were an important consideration in its design and language. The development of the algebraic aspects of angular momentum theory and the relationship between angular momentum theory and special topics in physics and mathematics are covered in this volume.This series of Encyclopedia volumes attempts to present the factual body of all mathematics. Clarity of exposition and accessibility to the non-specialist were an important consideration in its design and language. The development of the algebraic aspects of angular momentum theory and the relationship between angular momentum theory and special topics in physics and mathematics are covered in this volume.First published by Cambridge University Press in 1985, this series of Encyclopedia volumes attempts to present the factual body of all mathematics. Clarity of exposition and accessibility to the non-specialist were an important consideration in its design and language. The development of the algebraic aspects of angular momentum theory and the relationship between angular momentum theory and special topics in physics and mathematics are covered in this volume.1. Introduction; 2. Algebraic structures associated with Wigner and Racah operators; 3. Null space properties and structure theorems for RW-Algebra; 4. W-Algebra: an algebra of invariant operators; 5. Special topics; Appendix; List of symbols; Indices.