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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JOURNAL FREE ACCESS

1980 Volume 32 Issue 2 Pages 399-414

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

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Published: 1980 Received: August 17, 1978 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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