Basic Theory of Algebraic Groups and Lie Algebras
The theory of algebraic groups results from the interaction of various basic techniques from field theory, multilinear algebra, commutative ring theory, algebraic geometry and general algebraic representation theory of groups and Lie algebras. It is thus an ideally suitable framework for exhibiting...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1981, 1981
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| Edition: | 1st ed. 1981 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Representative Functions and Hopf Algebras
- II Affine Algebraic Sets and Groups
- III Derivations and Lie Algebras
- IV Lie Algebras and Algebraic Subgroups
- V Semisimplicity and Unipotency
- VI Solvable Groups
- VII Elementary Lie Algebra Theory
- VIII Structure Theory in Characteristic 0
- IX Algebraic Varieties
- X Morphisms of Varieties and Dimension
- XI Local Theory
- XII Coset Varieties
- XIII Borel Subgroups
- XIV Applications of Galois Cohomology
- XV Algebraic Automorphism Groups
- XVI The Universal Enveloping Algebra
- XVII Semisimple Lie Algebras
- XVIII From Lie Algebras to Groups
- References