On classification of parabolic reflection groups in SU (n, 1)
ジャーナル
フリー
1989 年 41 巻 1 号 p. 9-36
詳細
- Published: 1989 Received: 1986/05/19 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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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) N. Bourbaki, Groups et Algèbres de Lie, ch. 4,5 et 6, Hermann, Paris, 1968.
2) A. M. Cohen, Finite complex reflection groups, Ann. Sci. École Norm. Sup., 9 (1976), 379-436.
3) H. S. M. Coxeter, Discrete groups generated by reflections, Ann. Math., 35 (1934), 588-621.
4) H. S. M. Coxeter, Finite groups generated by unitary reflections, Abh. Math. Sem. Univ. Hamburg, 31 (1967), 125-135.
5) H. S. M. Coxeter, Regular complex polytopes, Cambridge Univ. Press, 1974.
6) J. Kaneko, S. Tokunaga and M. Yoshida, Complex crystallographic groups II, J. Math. Soc. Japan, 34 (1982), 595-605.
7) I. I. Piatetskii-Shapiro, Automorphic Functions and the Geometry of Classical Domains, Gordon and Breach, New York, 1969.
8) V. L. Popov, Discrete complex reflection groups, Commun. Math. Inst. Rijksuniv. Utrecht, 15 (1982).
9) G. C. Shephard, Unitary groups generated by reflections, Canad. J. Math., 5 (1953), 364-383.
10) G. C. Shephard and J. A. Todd, Finite unitary reflection groups, Canad. J. Math., 6 (1954), 274-304.
11) S. Tokunaga and M. Yoshida, Complex crystallographic groups I, J. Math. Soc. Japan, 34 (1982), 581-593.
12) M. Yoshida, Discrete reflection groups in the parabolic subgroup of SU(n, 1) and generalized Cartan matrices of Euclidean type, J. Fac. Sci. Univ. Tokyo, 30 (1983), 25-52.
13) M. Yoshida, Local theory of Fuchsian systems with certain discrete monodromy groups I, Funkcial Ekvac, 21 (1978), 105-137.
14) M. Yoshida and S. Hattori, Local theory of Fuchsian systems with certain discrete monodromy groups III, Funkcial Ekvac, 22 (1979), 1-40.
15) J. A. Wolf, Spaces of Constant Curvature, McGraw-Hill, New York, 1967.
Right : [1] N. Bourbaki, Groups et Algèbres de Lie, ch. 4,5 et 6, Hermann, Paris, 1968.
[2] A. M. Cohen, Finite complex reflection groups, Ann. Sci. École Norm. Sup., 9 (1976), 379-436.
[3] H. S. M. Coxeter, Discrete groups generated by reflections, Ann. Math., 35 (1934), 588-621.
[4] H. S. M. Coxeter, Finite groups generated by unitary reflections, Abh. Math. Sem. Univ. Hamburg, 31 (1967), 125-135.
[5] H. S. M. Coxeter, Regular complex polytopes, Cambridge Univ. Press, 1974.
[6] J. Kaneko, S. Tokunaga and M. Yoshida, Complex crystallographic groups II, J. Math. Soc. Japan, 34 (1982), 595-605.
[7] I. I. Piatetskii-Shapiro, Automorphic Functions and the Geometry of Classical Domains, Gordon and Breach, New York, 1969.
[8] V. L. Popov, Discrete complex reflection groups, Commun. Math. Inst. Rijksuniv. Utrecht, 15 (1982).
[9] G. C. Shephard, Unitary groups generated by reflections, Canad. J. Math., 5 (1953), 364-383.
[10] G. C. Shephard and J. A. Todd, Finite unitary reflection groups, Canad. J. Math., 6 (1954), 274-304.
[11] S. Tokunaga and M. Yoshida, Complex crystallographic groups I, J. Math. Soc. Japan, 34 (1982), 581-593.
[12] M. Yoshida, Discrete reflection groups in the parabolic subgroup of SU(n, 1) and generalized Cartan matrices of Euclidean type, J. Fac. Sci. Univ. Tokyo, 30 (1983), 25-52.
[13] M. Yoshida, Local theory of Fuchsian systems with certain discrete monodromy groups I, Funkcial Ekvac, 21 (1978), 105-137.
[14] M. Yoshida and S. Hattori, Local theory of Fuchsian systems with certain discrete monodromy groups III, Funkcial Ekvac, 22 (1979), 1-40.
[15] J. A. Wolf, Spaces of Constant Curvature, McGraw-Hill, New York, 1967.
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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