Vector valued invariants of prehomogeneous vector spaces

Akihiko GYOJA

doi:10.2969/jmsj/04310117

Akihiko GYOJA

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ジャーナルフリー

1991 年 43 巻 1 号 p. 117-131

DOI https://doi.org/10.2969/jmsj/04310117

詳細

Published: 1991 Received: - Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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) E. Bannai, N. Kawanaka and S.-Y. Song, The character table of the Hecke algebra H(GL_2n (F_q), SP_2n (F_q)), J. Algebra, 129 (1990), 320-366.
2) N. Bopp and H. Rubenthaler, Fonction zêta associée à la série principale sphérique de certains espaces symétriques, C. R. Acad. Sci. Paris, 310 (1990), 505-508.
3) H. Davenport and H. Hasse, Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen, J. Reine Angew. Math., 172 (1934), 151-182.
4) P. Deligne and G. Lusztig, Representation of reductive groups over finite fields, Ann, of Math., 103 (1976), 103-161.
5) J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80 (1955), 402-447.
6) A. A. Klyachko, Models for the complex representations of the groups GL (n, q), Math. USSR-Sb., 48 (1984), 365-379.
7) T. Kondo, On Gaussian sums attached to the general linear groups over finite fields, J. Math. Soc. Japan, 15 (1963), 244-255.
8) G. Lusztig and B. Srinivasan, The characters of finite unitary groups, J. Algebra, 49 (1977), 167-171.
9) H. Rubenthaler and G. Schiffmann, Opérateurs dlifférentiels de Shimura et espaces préhomogènes, Invent. Math., 90 (1987), 409-442.
10) M. Sato, Theory of prehomogeneous vector spaces (note by T. Shintani in Japanese), Sugaku no ayumi, 15 (1970), 85-157.
11) M. Sato and T. Shintani, On zeta functions associated with prehomogeneous vector spaces, Ann. of Math., 100 (1974), 131-170.

Right : [1] E. Bannai, N. Kawanaka and S. -Y. Song, The character table of the Hecke algebra H(GL_2n (F_q), SP_2n (F_q)), J. Algebra, 129 (1990), 320-366.
[2] N. Bopp and H. Rubenthaler, Fonction zêta associée à la série principale sphérique de certains espaces symétriques, C. R. Acad. Sci. Paris, 310 (1990), 505-508.
[3] H. Davenport and H. Hasse, Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen, J. Reine Angew. Math., 172 (1934), 151-182.
[4] P. Deligne and G. Lusztig, Representation of reductive groups over finite fields, Ann, of Math., 103 (1976), 103-161.
[5] J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80 (1955), 402-447.
[6] A. A. Klyachko, Models for the complex representations of the groups GL (n, q), Math. USSR-Sb., 48 (1984), 365-379.
[7] T. Kondo, On Gaussian sums attached to the general linear groups over finite fields, J. Math. Soc. Japan, 15 (1963), 244-255.
[8] G. Lusztig and B. Srinivasan, The characters of finite unitary groups, J. Algebra, 49 (1977), 167-171.
[9] H. Rubenthaler and G. Schiffmann, Opérateurs dlifférentiels de Shimura et espaces préhomogènes, Invent. Math., 90 (1987), 409-442.
[10] M. Sato, Theory of prehomogeneous vector spaces (note by T. Shintani in Japanese), Sugaku no ayumi, 15 (1970), 85-157.
[11] M. Sato and T. Shintani, On zeta functions associated with prehomogeneous vector spaces, Ann. of Math., 100 (1974), 131-170.

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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