An Invitation to Representation Theory

Table of Contents

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   Book Overview
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   Chapter 1 First Steps
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   Chapter 2 Polynomials, Subspaces and Subrepresentations
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   Chapter 3 Intertwining Maps, Complete Reducibility, and Invariant Inner Products
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   Chapter 4 The Structure of the Symmetric Group
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   Chapter 5 S n -Decomposition of Polynomial Spaces for n  = 1,  2,  3
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   Chapter 6 The Group Algebra
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   Chapter 7 The Irreducible Representations of S n : Characters
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   Chapter 8 The Irreducible Representations of S n : Young Symmetrizers
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    Chapter 9 Cosets, Restricted and Induced Representations
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    Chapter 10 Direct Products of Groups, Young Subgroups and Permutation Modules
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    Chapter 11 Specht Modules
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    Chapter 12 Decomposition of Young Permutation Modules
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    Chapter 13 Branching Relations