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醉染图书代换分析9787560354583
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Chapter Ⅰ THE CALCUIUS OF PERMUTATIONS
§ 1 Permutations
§ 2 The Symmetric Group fn
§ 3 Cycles and Transpositions
§ 4 Odd and Even Permutations
§ 5 Classes of Permutations
§ 7 The Positive and Negative Symmetric Groups on r Letters
Chapter Ⅱ THE CALCULUS OF TABIEAUX
§ 1 Shapes and Tableaux
§ 2 The Substitutional Expressions P and N
§ 3 The Product PrNs
§ 4 The Expressions E
§ 5 von Neumanns Theorem
§ 6 Youngs Formula
§ 7 Tableaux of Different Shapes
Chapter Ⅲ THE SEMI-NORMAL REPRESENTATION
§ 1 Standard Tableaux
§ 2 The Evaluation of fa
§ 3 The Semi-normal Units e
§ 4 Certain Fundamental Formulae
§ 5 The Irreducible Semi-normal Representations of fn
§ 6 Expressions which do not Involve the Last Letter
§ 7 The Semi-normal Matrix for E
§ 8 The Matrices U
§ 9 The Matrices U
Chapter Ⅳ THE ORTHOGONAL AND NATURAL REPRESENTATIONS
§ 1 Equivalent Representations
§ 2 The Invariant dratic
§ 3 The Tableau Function
§ 4 The Orthogonal Representation
§ 5 The Matrix
§ 6 The Natural Representation
§ 7 Expressions for the Units g
§ 8 Equivalence of the Natural and Semi-normal Representations
Chapter Ⅴ GROUP CHARACTERS
§ 1 The Expressions Cα
§ 2 The Expressions Tα
§ 3 The Relations between the Expressions Tκ and Cκ
§ 4 The Group Characters of fn
§ 5 The Evaluation of the Group Characters
§ 6 Reduction Formulae
§ 7 Littlewoods Theorem
Chapter Ⅵ SUBSTITUTIONAL EUATIONS
§ 1 Minimum Functions
§ 2 The Master Idempotent
§ 3 The Substitutional Properties of Functions
§ 4 The Number of Independent Solutions of LX = 0
§ 5 The Solution of the Equation LX = 0
§ 6 Functions which are Invariant under a Group of Substitutional Expressions
§ 7 Some Spe Cases
§ 8 The Equation LX = R
Appendix TABLES FOR THE CASE n = 3
Bibliography
Index
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