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全新正版代换分析9787560354583哈尔滨工业大学出版社
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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 LettersChapter 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 ShapesChapter 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 UChapter 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 RepresentationsChapter 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 TheoremChapter 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 = RAppendix TABLES FOR THE CASE n = 3BibliographyIndex
本书为D·E·卢瑟福的经典著作,讲述了对称群的初步观点,要有数的计算、杨氏公式、基偶数导数,表的计算、正交和自然表示法,不变量二次方程、矩阵,群的特,代换方程等内容。
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