Classification des algèbres de Lie simples

Asterisque

Volumn 266, Issue , 2000, Pages 245-286

  Mathieu, Olivier ^a,b  

^a UNIVERSITÉ DE STRASBOURG   (France)

^b UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043200668     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (38)

1. G.M. Benkart, T.B. Gregory, J.M. Osborn, H. Strade et R.L. Wilson - Isomorphism classes of Hamiltonian Lie algebras. In Lie algebras, Madison 1987, Springer. Lecture Notes in Math. 1373 (1989), 42-57.
2. G.M. Benkart, J.M. Osborn et H. Strade - Contributions to the classification of simple modular Lie algebras, Trans. Amer. Math. Soc. 341 (1994), 227-252.
3. R.E. Block et R.L. Wilson - The restricted simple Lie algebras are of classical or Cartan type, Proc. Nat. Acad. Sci. U.S.A. 81 (1984), 5271-5274.
4. R.E. Block et R.L. Wilson - Restricted simple Lie algebras. In Lie algebras and related topics (Windsor, Ont., 1984), Amer. Math. Soc. CMS Conf. Proc. 5 (1986), 3-17.
5. R.E. Block et R.L. Wilson - Classification of the restricted simple Lie algebras, J. Algebra 114 (1988), 115-259.
6. E. Cartan, Les groupes de transformations continus, infinis, simples, Ann. Sci. Ecole Norm. Sup. 26 (1909), 93-161.
7. P. Cartier - Une nouvelle opération sur les formes différentielles, C. R. Acad. Sci. Paris 244 (1957), 426-428.
8. N. Jacobson - Abstract derivation and Lie algebra, Trans. Amer. Math. Soc. 42 (1937), 206-224.
9. N. Jacobson - Lie algebras, Interscience Tracts in Pure and Applied Mathematics, 10 (1962).
10. I. M. Gelfand et O. Mathieu - On the cohomology of the Lie algebra of hamiltonian vector fields, J. of Funct. Anal. 108 (1992), 347-360.
11. V. Guillemin - Infinite dimensional primitive Lie algebra, J. differential geometry 4 (1970), 257-282.
12. V. G. Kac - Simple graded Lie algebras of finite growth, Math. USSR Izv. 2 (1968), 1271-1311.
13. V. G. Kac - The classification of the simple Lie algebras over a field with non-zero characteristic, Izv. Akad. Nauk SSSR Ser. Mat. 34 (1970), 385-408.
14. V. G. Kac - Global Cartan pseudogroups and simple Lie algebras in characteristic p (en russe), Usp. Math. Nauk 26 (1971), 199-200.
15. N. M. Katz - A conjecture in the arithmetic theory of differential equations, Bull. Soc. Math. France 110 (1982), 203-239.
16. A. I. Kostrikin et I. R. Shafarevitch - Cartan pseudo-groups and Lie p-algebras, Soviet Dokl. 7 (1966), 715-718.
17. O. Mathieu - Classification of simple graded Lie algebras of finite growth, Inv. Math. 108 (1992), 455-519.
18. G. M. Melikian - Simple Lie algebras of characteristic 5, Uspekhi Mat. Nauk 35 (1980), 203-204.
19. W. H. Mills et G.B. Seligman -Lie algebras of classical type, J. Math. Mech. 6 (1957), 519-548.
20. A. Premet et H. Strade - Simple Lie algebras of small characteristic, I, Sandwich elements. J. Algebra 189 (1997), 419-480.
21. G.B. Seligman - On a class of semisimple restricted Lie algebras, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 726-728.
22. G.B. Seligman - A survey of Lie algebras of characteristic p, Report of a conference on linear algebras, National Academy of Sciences-National Research Council. 502 (1956), 24-32.
23. G.B. Seligman - Some remarks on classical Lie algebras, J. Math. Mech. 6 (1957), 549-558.
24. R. Steinberg - Lectures on Chevalley groups. Notes, Yale University (1967).
25. H. Strade - The classification of the simple modular Lie algebras, III. Solution of the classical case. Ann. of Math. 133 (1991), 577-604.
26. H. Strade - The classification of the simple modular Lie algebras: a revised approach, Hadronic mechanics and nonpotential interactions, Part 1 (Cedar Falls, IA, 1990), Nova Sci. Publ. (1992), 79-99.
27. H. Strade - The classification of the simple modular Lie algebras, II. The toral structure. J. Algebra 151 (1992), 425-475.
28. H. Strade - The classification of the simple Lie algebras over algebraically closed fields with positive characteristic, Jordan algebras (Oberwolfach 1992), de Gruyter (1994), 281-299.
29. H. Strade - The classification of the simple modular Lie algebras, V. Algebras with Hamiltonian two-sections, Abh. Math. Sem. Univ. Hamburg 64 (1994), 167-202.
30. H. Strade - The classification of the simple modular Lie algebras. VI. Solving the final case, Trans. Amer. Math. Soc. 350 (1998), 2553-2628.
31. H. Strade - The classification of simple modular Lie algebras, Preprint.
32. H. Strade et R. L. Wilson - Classification of simple Lie algebras over algebraically closed fields of prime characteristic, Bull. Amer. Math. Soc. 24 (1991), 357-362.
33. J. Tits - Résumé de cours, annuaire du Collège de France (1980-1981), 75-86, et (1981-1982), 91-105.
34. J.Tits - Groupes associés aux algèbres de Kac-Moody, Sém. Bourbaki, Exp. no 700 (novembre 1988), Astérisque 177-178 (1989), 7-31.
35. J. Tits - Group and group functors attached to Kac-Moody data, Lecture Notes in Math. 1111, Springer-Verlag (1985), 193-223.
36. R. L. Wilson - A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic, J. Algebra 40 (1976), 418-465.
37. R. L. Wilson - Simple Lie algebras of type S, J. Algebra 62 (1980), 292-298.
38. [W3] R. L. Wilson - The classification problem for simple Lie algebras of characteristic p. In Algebra, Proc. Conf. Carbondale 1980, Springer. Lecture Notes in Math. 848 (1981), 13-32.