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线性代数群-第2版

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作者：(美国)杜波(Doob.J.L.) 著

出版社：上海世界图书出版公司

出版时间：2009-08

I S B N：9787510004810

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线性代数群-第2版

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线性代数群(第2版)(英文版)

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《线性代数群（第2版）（英文版）》是由世界图书出版公司出版。

内容简介

《线性代数群(第2版)(英文版)》介绍了：Apart from some knowledge of Lie algebras, the main prerequisite for these Notes is some familiarity with algebraic geometry. In fact, comparatively little is actually needed. Most of the notions and results frequently used in the Notes are summarized, a few with proofs, in a preliminary Chapter AG. As a basic reference, we take Mumford's Notes [14], and have tried to be to some extent self-contained from there. A few further results from algebraic geometry needed on some sp

作者简介

Introduction to the First Edition
Introduction to the Second Edition
Conventions and Notation
CHAPTER AG--Background Material From Algebraic Geometry
　1. Some Topological Notions
　2. Some Facts from Field Theory
　3. Some Commutative Algebra
　4. Sheaves
　5. Affine K-Schemes, Prevarieties
　6. Products; Varieties
　7. Projective and Complete Varieties
　8. Rational Functions; Dominant Morphisms
　9. Dimension
　10. Images and Fibres of a Morphism
　11. k-structures on K-Schemes
　12. k-Structures on Varieties
　13. Separable points
　14. Galois Criteria for Rationality
　15. Derivations and Differentials
　16. Tangent Spaces
　17. Simple Points