Tauvel, Patrice
Lie Algebras and Algebraic Groups
1. Results on topological spaces
2. Rings and modules
3. Integral extensions
4. Factorial rings
5. Field extensions
6. Finitely generated algebras
7. Gradings and filtrations
8. Inductive limits
9. Sheaves of functions
10. Jordan decomposition and some basic results on groups
11. Algebraic sets
12. Prevarieties and varieties
13. Projective varieties
14. Dimension
15. Morphisms and dimension
16. Tangent spaces
17. Normal varieties
18. Root systems
19. Lie algebras
20. Semisimple and reductive Lie algebras
21. Algebraic groups
22. Affine algebraic groups
23. Lie algebra of an algebraic group
24. Correspondence between groups and Lie algebras
25. Homogeneous spaces and quotients
26. Solvable groups
27. Reductive groups
28. Borel subgroups, parabolic subgroups, Cartan subgroups
29. Cartan subalgebras, Borel subalgebras and parabolic subalgebras
30. Representations of semisimple Lie algebras
31. Symmetric invariants
32. S-triples
33. Polarizations
34. Results on orbits
35. Centralizers
36. s-root systems
37. Symmetric Lie algebras
38. Semisimple symmetric Lie algebras
39. Sheets of Lie algebras
40. Index and linear forms
DRM-restrictions
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Keywords: MATHEMATICS / General MAT000000
- Author(s)
- Tauvel, Patrice
- Yu, Rupert W. T.
- Publisher
- Springer
- Publication year
- 2005
- Language
- en
- Edition
- 1
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783540274278