The orbits of affine symmetric spaces under the action of minimal parabolic subgroups

Toshihiko MATSUKI

doi:10.2969/jmsj/03120331

Toshihiko MATSUKI

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ジャーナルフリー

1979 年 31 巻 2 号 p. 331-357

DOI https://doi.org/10.2969/jmsj/03120331

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Published: 1979 Received: 1977/11/19 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) K. Aomoto, On some double coset decompositions of complex semi-simple Lie groups, J. Math. Soc. Japan, 18 (1966), 1-44.
2) M. M. Berger, Les espace symétriques non compacts, Ann. Sci. École Norm. Sup., 74 (1957), 85-177.
3) N. Bourbaki, Éléments de mathématique, Groupes et algèbres de Lie, Chapters IV-VI, Hermann, Paris, 1968.
4) S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
5) M. Sugiura, Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras, J. Math. Soc. Japan, 11 (1959), 374-434.
6) M. Sugiura, Correction to my paper: Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras, J. Math. Soc. Japan, 23 (1971), 379-383.
7) G. Warner, Harmonic analysis on semi-simple Lie groups I, Springer-Verlag, Berlin and New York, 1972.
8) J. A. Wolf, The action of a real semi-simple group on a complex flag manifold, I: Orbit structure and holomorphic arc components, Bull. Amer. Math. Soc., 75 (1969), 1121-1237.
9) J. A. Wolf, Finiteness of orbit structure for real flag manifolds, Geometriae Dedicata 3 (1974), 377-384.
10) O. Loos, Symmetric spaces, I, Benjamin, New York, 1969.

Right : [1] K. Aomoto, On some double coset decompositions of complex semi-simple Lie groups, J. Math. Soc. Japan, 18 (1966), 1-44.
[2] M. M. Berger, Les espace symétriques non compacts, Ann. Sci. École Norm. Sup., 74 (1957), 85-177.
[3] N. Bourbaki, Éléments de mathématique, Groupes et algèbres de Lie, Chapters IV-VI, Hermann, Paris, 1968.
[4] S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
[5] M. Sugiura, Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras, J. Math. Soc. Japan, 11 (1959), 374-434.
[6] M. Sugiura, Correction to my paper: Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras, J. Math. Soc. Japan, 23 (1971), 379-383.
[7] G. Warner, Harmonic analysis on semi-simple Lie groups I, Springer-Verlag, Berlin and New York, 1972.
[8] J. A. Wolf, The action of a real semi-simple group on a complex flag manifold, I: Orbit structure and holomorphic arc components, Bull. Amer. Math. Soc., 75 (1969), 1121-1237.
[9] J. A. Wolf, Finiteness of orbit structure for real flag manifolds, Geometriae Dedicata 3 (1974), 377-384.
[10] O. Loos, Symmetric spaces, I, Benjamin, New York, 1969.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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