On the subalgebras g0 and gev of semisimple graded Lie algebras

Soji KANEYUKI

doi:10.2969/jmsj/04510001

On the subalgebras g₀ and g_ev of semisimple graded Lie algebras

Soji KANEYUKI

著者情報

ジャーナルフリー

1993 年 45 巻 1 号 p. 1-19

DOI https://doi.org/10.2969/jmsj/04510001

詳細

Published: 1993 Received: 1991/10/02 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: 論文タイトル訂正内容: Wrong : On the subalgebras _??_₀ and _??__ev of semisimple graded Lie algebras
Right : On the subalgebras g₀ and g_ev of semisimple graded Lie algebras

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Department of Mathematics Sophia University Catolica-RJ

訂正後 :
1) Department of Mathematics Sophia University

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) S. Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces, J. Math. Osaka City Univ., 13 (1962), 1-34.
2) A. Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math., 75 (1962), 485-535.
3) N. Bourbaki, Groupes et Algèbres de Lie, Chapitre 4, 5 et 6, Masson, Paris, 1981.
4) J. H. Cheng, Graded Lie algebras of the second kind, Trans. Amer. Math. Soc., 302 (1987), 467-488.
5) D. Z. Djokovic, Classification of Z-graded real semi-simple Lie algebras, J. Algebra, 76 (1982), 367-382.
6) E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Amer. Math. Soc. Transl. Ser. 2, 6, 1960, pp. 111-244.
7) Z. Hou, On the classification of Z-graded real semi-simple Lie algebras, Northeastern Mathematics, 2 (1986), 258-264.
8) S. Kaneyuki, On classification of parahermitian symmetric spaces, Tokyo J. Math., 8 (1985), 473-482.
9) S. Kaneyuki, Pseudo-hermitian symmetric spaces and Siegel domains over non-degenerate cones, Hokkaido Math. J., 20 (1991), 213-239.
10) S. Kaneyuki, On a remarkable class of homogeneous symplectic manifolds, Proc. Japan Acad. Ser. A, 67 (1991), 129-131.
11) S. Kaneyuki and H. Asano, Graded Lie algebras and generalized Jordan triple systems, Nagoya Math. J., 112 (1988), 81-115.
12) S. Kobayashi and T. Nagano, On filtered Lie algebras and geometric structures I, J. Math. Mech., 13 (1964), 875-908.
13) O. Loos, Bounded Symmetric Domains and Jordan Pairs, Math. Lect., Univ. Calif., Irvine, 1977.
14) I. Satake, On representations and compactifications of symmetric Riemannian spaces, Ann. of Math., 71 (1960), 77-110.
15) N. Tanaka, On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections, Japan. J. Math., 2 (1976), 131-190.
16) S. Kaneyuki, Homogeneous symplectic manifolds and dipolarizations in Lie algebras, Tokyo J. Math., 15 (1992), 279-291.

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] A. Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math., 75 (1962), 485-535.
[3] N. Bourbaki, Groupes et Algèbres de Lie, Chapitre 4, 5 et 6, Masson, Paris, 1981.
[4] J. H. Cheng, Graded Lie algebras of the second kind, Trans. Amer. Math. Soc., 302 (1987), 467-488.
[5] D. Z. Djokovic, Classification of Z-graded real semi-simple Lie algebras, J. Algebra, 76 (1982), 367-382.
[6] E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Amer. Math. Soc. Transl. Ser. 2, 6, 1960, pp. 111-244.
[7] Z. Hou, On the classification of Z-graded real semi-simple Lie algebras, Northeastern Mathematics, 2 (1986), 258-264.
[8] S. Kaneyuki, On classification of parahermitian symmetric spaces, Tokyo J. Math., 8 (1985), 473-482.
[9] S. Kaneyuki, Pseudo-hermitian symmetric spaces and Siegel domains over non-degenerate cones, Hokkaido Math. J., 20 (1991), 213-239.
[10] S. Kaneyuki, On a remarkable class of homogeneous symplectic manifolds, Proc. Japan Acad. Ser. A, 67 (1991), 129-131.
[11] S. Kaneyuki and H. Asano, Graded Lie algebras and generalized Jordan triple systems, Nagoya Math. J., 112 (1988), 81-115.
[12] S. Kobayashi and T. Nagano, On filtered Lie algebras and geometric structures I, J. Math. Mech., 13 (1964), 875-908.
[13] O. Loos, Bounded Symmetric Domains and Jordan Pairs, Math. Lect., Univ. Calif., Irvine, 1977.
[14] I. Satake, On representations and compactifications of symmetric Riemannian spaces, Ann. of Math., 71 (1960), 77-110.
[15] N. Tanaka, On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections, Japan. J. Math., 2 (1976), 131-190.
[16] S. Kaneyuki, Homogeneous symplectic manifolds and dipolarizations in Lie algebras, Tokyo J. Math., 15 (1992), 279-291.

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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