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This classic monograph on representation theory and the symmetric group is suitable for advanced undergraduates and graduate students. Topics include the calculus of permutations, the calculus of tableaux, the semi-normal representation, the orthogonal and natural representations, group characters, and substitutional equations. Includes a bibliography on substitutional analysis. 1968 edition.
Table of Contents
I. The Calculus of Permutations
II. The Calculus of Tableaux
III. The Semi-normal Representations
IV. The Orthogonal and Natural Representations
V. Group Characters
VI. Substitutional Equations
Appendix: Tables for the Case n = 3