On certain character groups attached to algebraic groups

Takashi TASAKA

doi:10.2969/jmsj/02320250

Takashi TASAKA

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1971 Volume 23 Issue 2 Pages 250-268

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

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Published: 1971 Received: December 08, 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: CITATION Details: 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.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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