On certain double coset spaces of algebraic groups

Kenichi IYANAGA

doi:10.2969/jmsj/02310103

Kenichi IYANAGA

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JOURNAL FREE ACCESS

1971 Volume 23 Issue 1 Pages 103-122

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

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Published: 1971 Received: April 27, 1970 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: SUBTITLE Details: Wrong : to Elaine

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: 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.

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