书籍目录: 1. Groups and Matrices 2. Reducibility 3. Group Characters 4. The Symmetric Group 5. The Characters of the Symmetric Group 6. The Alternating Group 7. Linear Groups 8. Group Integration 9. The Orthogonal Group 10. Spin Representations of the Rotation Group 11. The Crystallographic Groups 12. The Lorentz Group References Index 内容简介: A distinguished contributor in the sphere of applied mathematics created this comprehensive introduction to the theory of group representations. Murnaghan\'s first-rate account of the field pioneered and developed chiefly by Frobenius, Weyl, and Schur devotes particular attention to the groups--mainly the symmetric group and the rotation group--of fundamental significance for quantum mechanics (especially nuclear physics). Because groups of matrices are the usual group representations, this work is also a valuable contribution to the literature on matrices. This authoritative exposition is of specific interest to teachers and graduate-level students of applied mathematics, physics, and higher algebra. 1938 ed.