Real analytic actions of complex symplectic groups and other classical Lie groups on spheres

Fuichi UCHIDA

doi:10.2969/jmsj/03840661

Fuichi UCHIDA

著者情報

ジャーナルフリー

1986 年 38 巻 4 号 p. 661-677

DOI https://doi.org/10.2969/jmsj/03840661

詳細

Published: 1986 Received: 1985/04/09 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) C. Chevalley, Theory of Lie groups I, Princeton Univ. Press, 1946.
2) H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math., 68 (1958), 460-472.
3) V. W. Guillemin and S. Sternberg, Remarks on a paper of Hermann, Trans. Amer. Math. Soc., 130 (1968), 110-116.
4) W. C. Hsiang and W. Y. Hsiang, Differentiable actions of compact connected classical groups I, Amer. J. Math., 89 (1967), 705-786.
5) A. Nakanishi and F. Uchida, Actions of symplectic groups on certain manifolds, Tohoku Math. J., 36 (1984), 81-98.
6) R. S. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc., 22, 1957.
7) F. Uchida, Real analytic SL(n, R) actions on spheres, Tohoku Math. J., 33 (1981), 145-175.
8) F. Uchida, Real analytic SL(n, C) actions, Bull. Yamagata Univ. Nat. Sci., 10 (1980), 1-14.
9) F. Uchida, Actions of special linear groups on a product manifold, Bull. Yamagata Univ. Nat. Sci., 10 (1982), 227-233.
10) F. Uchida, On the non-existence of smooth actions of complex symplectic group on cohomology quaternion projective spaces, Hokkaido Math. J., 12 (1983), 226-236.
11) T. Wada, Smooth Sp(n) actions on cohomology quaternion projective spaces, Tohoku Math. J., 29 (1977), 375-384.
12) H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc., 36 (1934), 63-89.

Right : [1] C. Chevalley, Theory of Lie groups I, Princeton Univ. Press, 1946.
[2] H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math., 68 (1958), 460-472.
[3] V. W. Guillemin and S. Sternberg, Remarks on a paper of Hermann, Trans. Amer. Math. Soc., 130 (1968), 110-116.
[4] W. C. Hsiang and W. Y. Hsiang, Differentiable actions of compact connected classical groups I, Amer. J. Math., 89 (1967), 705-786.
[5] A. Nakanishi and F. Uchida, Actions of symplectic groups on certain manifolds, Tôhoku Math. J., 36 (1984), 81-98.
[6] R. S. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc., 22, 1957.
[7] F. Uchida, Real analytic SL(n, R) actions on spheres, Tohoku Math. J., 33 (1981), 145-175.
[8] F. Uchida, Real analytic SL(n, C) actions, Bull. Yamagata Univ. Nat. Sci., 10 (1980), 1-14.
[9] F. Uchida, Actions of special linear groups on a product manifold, Bull. Yamagata Univ. Nat. Sci., 10 (1982), 227-233.
[10] F. Uchida, On the non-existence of smooth actions of complex symplectic group on cohomology quaternion projective spaces, Hokkaido Math. J., 12 (1983), 226-236.
[11] T. Wada, Smooth Sp(n) actions on cohomology quaternion projective spaces, Tôhoku Math. J., 29 (1977), 375-384.
[12] H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc., 36 (1934), 63-89.

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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