Quelques remarques sur les groupes de Lie algébriques réels

Hideya MATSUMOTO

doi:10.2969/jmsj/01640419

Hideya MATSUMOTO

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JOURNAL FREE ACCESS

1964 Volume 16 Issue 4 Pages 419-446

DOI https://doi.org/10.2969/jmsj/01640419

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Published: 1964 Received: July 03, 1964 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] S. Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces, J. Math. Osaka City Univ., 13 (1962), 1-34.
[2] A. Borel et J. de Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie clos, Comm. Math. Helv., 23 (1949), 200-221.
[3] A. Borel, Kählerian coset spaces of semisimple Lie groups, Proc. Nat. Acad. Sc. U. S. A., 40 (1954), 1147-1151.
[4] A. Borel et Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math., 75 (1962), 485-535.
[5] E. Cartan, Sur les formes riemanniennes remarquables des géométries à groupe fondamental simple, Ann. sc. École Norm. Sup., 44 (1927), 345-467.
[6] C. Chevalley, Théorie des groupes de Lie, II (1951), III (1955) Paris.
[7] N. Iwahori et I. Satake, On Cartan subalgebras of a Lie algebra, Kôdai math. Sem. Rep., 3 (1950), 57-60.
[8] B. Kostant, Conjugacy of real Cartan subalgebras, Proc, nat. Acad. Sc. U. S. A., 41 (1955), 967-970.
[9] G. D. Mostow, On maximal subgroups of real Lie groups, Ann. of Math., 74 (1961), 503-517.
[10] S. Murakami, On the automorphisms of a real semisimple Lie algebra, J. math. Soc. Japan, 4 (1952), 103-133; 5 (1953), 105-112.
[11] I. Satake, On representations and compactifications of symmetric Riemannian spaces, Ann. of Math., 71 (1960), 77-110.
[12] Séminaire “Sophus Lie”, 1954/1955, Théorie des algèbres de Lie, Topologie des groupes de Lie, Paris, 1955.
[13] M. Sugiura, Conjugate classes of Cartan subalgebras in real semisimple Lie algebras, J. math. Soc. Japan, 11 (1959), 374-434.
[14] M. Takeuchi, On the fundamental group and the group of isometries of a symmetric space, J. Fac. Sc. Univ. Tokyo, 10 (1964), 88-123.
[15] J. Tits, Séminaire Bourbaki, 1954/1955, exposés n^os 110 et 119, Paris.
[16] J. Tits, Groupes algébriques semi-simples et géométries associées, Coll. Alg. top. found. geom. (Utrecht, 1959), Oxford, 1962, 175-192.
[17] J. Tits, Espaces homogènes complexes compacts, Comm. Math. Helv., 37 (1962), 111-120.

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