Lie Algebras and Algebraic Groups

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ISBN: 978-3-540-24170-6 (Print) 978-3-540-27427-8 (Online)

Table of contents (40 chapters)

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  1. No Access

    Book Chapter

    Pages 1-9

    Results on topological spaces

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    Book Chapter

    Pages 11-29

    Rings and modules

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    Book Chapter

    Pages 31-37

    Integral extensions

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    Book Chapter

    Pages 39-53

    Factorial rings

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    Book Chapter

    Pages 55-73

    Field extensions

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    Book Chapter

    Pages 75-86

    Finitely generated algebras

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    Book Chapter

    Pages 87-94

    Gradings and filtrations

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    Book Chapter

    Pages 95-101

    Inductive limits

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    Book Chapter

    Pages 103-112

    Sheaves of functions

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    Book Chapter

    Pages 113-129

    Jordan decomposition and some basic results on groups

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    Book Chapter

    Pages 131-145

    Algebraic sets

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    Book Chapter

    Pages 147-166

    Prevarieties and varieties

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    Book Chapter

    Pages 167-182

    Projective varieties

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    Book Chapter

    Pages 183-190

    Dimension

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    Book Chapter

    Pages 191-204

    Morphisms and dimension

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    Book Chapter

    Pages 205-218

    Tangent spaces

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    Book Chapter

    Pages 219-232

    Normal varieties

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    Book Chapter

    Pages 233-275

    Root systems

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    Book Chapter

    Pages 277-297

    Lie algebras

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    Book Chapter

    Pages 299-318

    Semisimple and reductive Lie algebras

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