On certain character groups attached to algebraic groups

Takashi TASAKA

doi:10.2969/jmsj/02320250

Takashi TASAKA

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ジャーナルフリー

1971 年 23 巻 2 号 p. 250-268

DOI https://doi.org/10.2969/jmsj/02320250

詳細

Published: 1971 Received: 1969/12/08 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. Tate, Duality theorems in Galois cohomology over number fields, Proc. Congress, Stockholm, 1962, 288-295.
2) E. Artin and J. Tate, Class field theory, Harvard, 1961.
3) M. Kneser, Strong approximation, Algebraic groups and discontinuous subgroups, Proc. of Symp. in pure Math., Amer. Math. Soc., IX (1966), Part II, 187-196.
4) T. Nakayama, Cohomology of class field theory and tensor product modules, I, Ann. of Math., 65 (1957), 255-267.
5) T. Ono, Arithmetic of algebraic tori, Ann. of Math., 74 (1961), 101-139.
6) T. Ono, On the relative theory of Tamagawa numbers, Ann. of Math., 82 (1965), 88-111.
7) I. Satake, Symplectic representations of algebraic groups satisfying a certain analyticity condition, Acta Math., 117 (1967), 215-279.
8) J.-P. Serre, Cohomologie galoisienne, Lecture notes in Math., 5 (1965), Springer-Verlag.
9) T. Tasaka, Sur les groupes algébriques semi-simples déployés, J. Math. Soc. Japan, 20 (1968), 390-399.
10) T. Tasaka, On the quasi-split simple algebraic groups defined over an algebraic number field, J. Fac. Sci. Univ. Tokyo Sect. I, 15 (1968), 147-168.
11) T. Tasaka, On the second cohomology groups of the fundamental group of simple algebraic groups over perfect field, J. Math. Soc. Japan, 21 (1969), 244-258.

Right : [1] J. Tate, Duality theorems in Galois cohomology over number fields, Proc. Congress, Stockholm, 1962, 288-295.
[2] E. Artin and J. Tate, Class field theory, Harvard, 1961.
[3] M. Kneser, Strong approximation, Algebraic groups and discontinuous subgroups, Proc. of Symp. in pure Math., Amer. Math. Soc., IX (1966), Part II, 187-196.
[4] T. Nakayama, Cohomology of class field theory and tensor product modules, I, Ann. of Math., 65 (1957), 255-267.
[5] T. Ono, Arithmetic of algebraic tori, Ann. of Math., 74 (1961), 101-139.
[6] T. Ono, On the relative theory of Tamagawa numbers, Ann. of Math., 82 (1965), 88-111.
[7] I. Satake, Symplectic representations of algebraic groups satisfying a certain analyticity condition, Acta Math., 117 (1967), 215-279.
[8] J. -P. Serre, Cohomologie galoisienne, Lecture notes in Math., 5 (1965), Springer-Verlag.
[9] T. Tasaka, Sur les groupes algébriques semi-simples déployés, J. Math. Soc. Japan, 20 (1968), 390-399.
[10] T. Tasaka, On the quasi-split simple algebraic groups defined over an algebraic number field, J. Fac. Sci. Univ. Tokyo Sect. I, 15 (1968), 147-168.
[11] T. Tasaka, On the second cohomology groups of the fundamental group of simple algebraic groups over perfect field, J. Math. Soc. Japan, 21 (1969), 244-258.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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