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Basic Theory of Algebraic Groups and Lie Algebras

Overview of attention for book
Cover of 'Basic Theory of Algebraic Groups and Lie Algebras'

Table of Contents

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    Book Overview
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    Chapter 1 Representative Functions and Hopf Algebras
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    Chapter 2 Affine Algebraic Sets and Groups
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    Chapter 3 Derivations and Lie Algebras
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    Chapter 4 Lie Algebras and Algebraic Subgroups
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    Chapter 5 Semisimplicity and Unipotency
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    Chapter 6 Solvable Groups
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    Chapter 7 Elementary Lie Algebra Theory
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    Chapter 8 Structure Theory in Characteristic 0
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    Chapter 9 Algebraic Varieties
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    Chapter 10 Morphisms of Varieties and Dimension
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    Chapter 11 Local Theory
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    Chapter 12 Coset Varieties
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    Chapter 13 Borel Subgroups
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    Chapter 14 Applications of Galois Cohomology
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    Chapter 15 Algebraic Automorphism Groups
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    Chapter 16 The Universal Enveloping Algebra
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    Chapter 17 Semisimple Lie Algebras
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    Chapter 18 From Lie Algebras to Groups
Attention for Chapter 8: Structure Theory in Characteristic 0
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