On infinitesimal automorphisms of Siegel domains

Noboru TANAKA

doi:10.2969/jmsj/02220180

Noboru TANAKA

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JOURNAL FREE ACCESS

1970 Volume 22 Issue 2 Pages 180-212

DOI https://doi.org/10.2969/jmsj/02220180

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Published: 1970 Received: June 02, 1969 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Prof. Atuo Komatu for his 60th birthday

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] N. Bourbaki, Éléments de Mathematique, Groupes et Algèbre de Lie, Chap. I, Hermann, Paris, 1960.
[2] S. Kaneyuki, On the automorphism groups of homogeneous bounded domains, J. Fac. Sci. Univ. Tokyo, 14 (1967), 89-130.
[3] S. Kaneyuki and M. Sudo, On Silov boundaries of Siegel domains, J. Fac. Sci. Univ. Tokyo, 15 (1968), 131-146.
[4] S. Kobayashi, Espaces à connexion de Cartan complète, Proc. Japan Acad. Sci., 30 (1954), 709-710.
[5] J. Koszul, Sur la forme hermitienne canonique des espaces homogènes complexes, Canad. J. Math., 7 (1955), 562-576.
[6] I. I. Pyatetski-Shapiro, Geometry of classical domains and theory of automorphic functions, Fizmatgiz, 1961.
[7] I. I. Pyatetski-Shapiro, On the classification of homogeneous bounded domains in n-dimensional complex space, Dokl. Acad. Nauk SSSR, 141 (1961), 316-319.
[8] N. Tanaka, On infinitesimal automorphisms of Siegel domains, Proc. Japan Acad. Sci., 45 (1969), 1-4.
[9] N. Tanaka, On differential systems, graded Lie algebras and pseudo-groups, (to appear).
[10] E. B. Vinberg, S. G. Gindikin and I. I. Pyatetski-Shapiro, On the classification and canonical realization of complex bounded homogeneous domains, Trans. Moscow Math. Soc., 12 (1963), 359-388.

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