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Elements of the Theory of Representations

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Cover of 'Elements of the Theory of Representations'

Table of Contents

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    Book Overview
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    Chapter 1 Sets, Categories, Topology
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    Chapter 2 Groups and Homogeneous Spaces
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    Chapter 3 Rings and Modules
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    Chapter 4 Elements of Functional Analysis
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    Chapter 5 Analysis on Manifolds
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    Chapter 6 Lie Groups and Lie Algebras
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    Chapter 7 Representations of Groups
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    Chapter 8 Decomposition of Representations
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    Chapter 9 Invariant Integration
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    Chapter 10 Group Algebras
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    Chapter 11 Characters
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    Chapter 12 Fourier Transforms and Duality
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    Chapter 13 Induced Representations
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    Chapter 14 Projective Representations
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    Chapter 15 The Method of Orbits
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    Chapter 16 Finite Groups
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    Chapter 17 Compact Groups
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    Chapter 18 Lie Groups and Lie Algebras
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    Chapter 19 Examples of Wild Lie Groups
Attention for Chapter 12: Fourier Transforms and Duality
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