On certain double coset spaces of algebraic groups

Kenichi IYANAGA

doi:10.2969/jmsj/02310103

Kenichi IYANAGA

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ジャーナルフリー

1971 年 23 巻 1 号 p. 103-122

DOI https://doi.org/10.2969/jmsj/02310103

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Published: 1971 Received: 1970/04/27 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
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訂正日: 2006/09/29 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Wrong : to Elaine

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) A. Borel, Some finiteness properties of adele groups over number fields, Publ. I.H.E.S., 16 (1963), 101-126.
2) A. Borel, Reduction theory for arithmetic groups, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., Providence, R. I., 1966.
3) C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience Publ., New York, London, 1962.
4) L. J. Gerstein, Integral decomposition of Hermitian forms, to appear in Amer. J. Math.
5) R. Godement, Groupes linéaires algébriques sur un corps parfait, Sem. Bourbaki, n° 206, Paris, 1960-61.
6) K. Iyanaga, Arithmetic of special unitary groups and their symplectic representations, J. Fac. Sci. Univ. Tokyo, 15 (1968), 35-69.
7) K. Iyanaga, Class numbers of definite Hermitian forms, J. Math. Soc. Japan, 21 (1969), 359-374.
8) O.T. O'Meara, Introduction to Quadratic Forms, Academic Press, New York, 1963.
9) G. Shimura, Arithmetic of alternating forms and quaternion hermitian forms, J. Math. Soc. Japan, 15 (1963), 33-65.
10) G. Shimura, Arithmetic of unitary groups, Ann. of Math., (2), 79 (1964), 369-409.

Right : [1] A. Borel, Some finiteness properties of adele groups over number fields, Publ. I. H. E. S., 16 (1963), 101-126.
[2] A. Borel, Reduction theory for arithmetic groups, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., Providence, R. I., 1966.
[3] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience Publ., New York, London, 1962.
[4] L. J. Gerstein, Integral decomposition of Hermitian forms, to appear in Amer. J. Math.
[5] R. Godement, Groupes linéaires algébriques sur un corps parfait, Sem. Bourbaki, n° 206, Paris, 1960-61.
[6] K. Iyanaga, Arithmetic of special unitary groups and their symplectic representations, J. Fac. Sci. Univ. Tokyo, 15 (1968), 35-69.
[7] K. Iyanaga, Class numbers of definite Hermitian forms, J. Math. Soc. Japan, 21 (1969), 359-374.
[8] O. T. O'Meara, Introduction to Quadratic Forms, Academic Press, New York, 1963.
[9] G. Shimura, Arithmetic of alternating forms and quaternion hermitian forms, J. Math. Soc. Japan, 15 (1963), 33-65.
[10] G. Shimura, Arithmetic of unitary groups, Ann. of Math., (2), 79 (1964), 369-409.

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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