Orbits on affine symmetric spaces under the action of the isotropy subgroups

Toshio OSHIMA; Toshihiko MATSUKI

doi:10.2969/jmsj/03220399

Toshio OSHIMA, Toshihiko MATSUKI

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ジャーナルフリー

1980 年 32 巻 2 号 p. 399-414

DOI https://doi.org/10.2969/jmsj/03220399

詳細

Published: 1980 Received: 1978/08/17 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. Berger, Les espace symétriques non compacts, Ann. Sci. Ecole Norm. Sup., 74 (1957), 85-177.
3) Harish-Chandra, The characters of semi-simple Lie groups, Trans. Amer. Math. Soc., 83 (1956), 98-163.
4) Harish-Chandra, Some results on an invariant integral on a semi-simple Lie algebras, Ann. of Math., 80 (1964), 551-593.
5) S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
6) N. Jacobson, Lie algebras, Interscience, New York, 1962.
7) S. Kobayashi and K. Nomizu, Foundations of differential geometry, II, Interscience, New York, 1969.
8) O. Loos, Symmetric spaces, I, Benjamin, New York, 1969.
9) T. Matsuki, The orbits of affine symmetric spaces under the action of minimal parabolic subgroups, J. Math. Soc. Japan, 31 (1979), 331-357.
10) G. D. Mostow, Some new decomposition theorems for semi-simple groups, Mem. Amer. Math. Soc., 14 (1955), 31-54.
11) M. Sugiura, Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras, J. Math. Soc. Japan, 11 (1959), 374-434.
12) G. Warner, Harmonic analysis on semi-simple Lie groups, I, Springer Verlag, Berlin and New York, 1972.

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. Berger, Les espace symétriques non compacts, Ann. Sci. Ecole Norm. Sup., 74 (1957), 85-177.
[3] Harish-Chandra, The characters of semi-simple Lie groups, Trans. Amer. Math. Soc., 83 (1956), 98-163.
[4] Harish-Chandra, Some results on an invariant integral on a semi-simple Lie algebras, Ann. of Math., 80 (1964), 551-593.
[5] S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
[6] N. Jacobson, Lie algebras, Interscience, New York, 1962.
[7] S. Kobayashi and K. Nomizu, Foundations of differential geometry, II, Interscience, New York, 1969.
[8] O. Loos, Symmetric spaces, I, Benjamin, New York, 1969.
[9] T. Matsuki, The orbits of affine symmetric spaces under the action of minimal parabolic subgroups, J. Math. Soc. Japan, 31 (1979), 331-357.
[10] G. D. Mostow, Some new decomposition theorems for semi-simple groups, Mem. Amer. Math. Soc., 14 (1955), 31-54.
[11] M. Sugiura, Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras, J. Math. Soc. Japan, 11 (1959), 374-434.
[12] G. Warner, Harmonic analysis on semi-simple Lie groups, I, Springer Verlag, Berlin and New York, 1972.

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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