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Algebras and Representation Theory

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Cover of 'Algebras and Representation Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Algebras
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    Chapter 2 Modules and Representations
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    Chapter 3 Simple Modules and the Jordan–Hölder Theorem
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    Chapter 4 Semisimple Modules and Semisimple Algebras
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    Chapter 5 The Structure of Semisimple Algebras: The Artin–Wedderburn Theorem
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    Chapter 6 Semisimple Group Algebras and Maschke’s Theorem
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    Chapter 7 Indecomposable Modules
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    Chapter 8 Representation Type
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    Chapter 9 Representations of Quivers
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    Chapter 10 Diagrams and Roots
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    Chapter 11 Gabriel’s Theorem
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    Chapter 12 Proofs and Background
Attention for Chapter 4: Semisimple Modules and Semisimple Algebras
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