A note on automorphisms of real semisimple Lie algebras

Takeshi HIRAI

doi:10.2969/jmsj/02820250

Takeshi HIRAI

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 2 Pages 250-256

DOI https://doi.org/10.2969/jmsj/02820250

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Published: 1976 Received: January 24, 1975 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) S. Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces, J. Math. Osaka City Univ., 13 (1962), 1-34.
2) Harish-Chandra, Fourier transforms on a semisimple Lie algebra I, Amer. J. Math., 79 (1957), 193-257.
3) Harish-Chandra, Invariant eigendistributions on a semisimple Lie group, Trans. Amer. Math. Soc., 119 (1965), 457-508.
4) S. Helgason, Differential geometry and symmetric spaces, Academic Press, 1962.
5) T. Hirai, Invariant eigendistributions of Laplace operators on real simple Lie groups II. General theory for semisimple Lie groups, to appear.
6) T. Hirai, Invariant eigendistributions of Laplace operators on real simple Lie groups III. Methods of construction for semisimple Lie groups, to appear.
7) I. Satake, On representations and compactifications of symmetric Riemannian spaces, Ann. Math., 71 (1960), 77-110.
8) M. Sugiura, Conjugate classes of Cartan subalgebras in real semisimple Lie algebras, J. Math. Soc. Japan, 11 (1959), 374-434.

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] Harish-Chandra, Fourier transforms on a semisimple Lie algebra I, Amer. J. Math., 79 (1957), 193-257.
[3] Harish-Chandra, Invariant eigendistributions on a semisimple Lie group, Trans. Amer. Math. Soc., 119 (1965), 457-508.
[4] S. Helgason, Differential geometry and symmetric spaces, Academic Press, 1962.
[5] T. Hirai, Invariant eigendistributions of Laplace operators on real simple Lie groups II. General theory for semisimple Lie groups, to appear.
[6] T. Hirai, Invariant eigendistributions of Laplace operators on real simple Lie groups III. Methods of construction for semisimple Lie groups, to appear.
[7] I. Satake, On representations and compactifications of symmetric Riemannian spaces, Ann. Math., 71 (1960), 77-110.
[8] M. Sugiura, Conjugate classes of Cartan subalgebras in real semisimple Lie algebras, J. Math. Soc. Japan, 11 (1959), 374-434.

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

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