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Tauvel, Patrice

Lie Algebras and Algebraic Groups

Tauvel, Patrice - Lie Algebras and Algebraic Groups, e-bok

82,45€

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ISBN: 9783540274278
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Table of contents

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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Nyckelord: MATHEMATICS / General MAT000000

Författare
 
Utgivare
Springer
Utgivningsår
2005
Språk
en
Utgåva
1
Kategori
Naturvetenskaper
Format
E-bok
eISBN (PDF)
9783540274278

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