Two remarks on irreducible characters of finite general linear groups

Takuro SHINTANI

doi:10.2969/jmsj/02820396

Takuro SHINTANI

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 2 Pages 396-414

DOI https://doi.org/10.2969/jmsj/02820396

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Published: 1976 Received: June 21, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Gelfand-Graev-P. Shapiro, Representation Theory and Automorphic Function.
2) J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80 (1955), 402-447.
3) H. Saito, Automorphic forms and algebraic extensions of number fields, Lectures in Math. 8, Dept. Math. Kyoto Univ.
4) C. W. Curtis, Modular representation of finite groups with split (B, N)-pairs, Sem. on algebraic groups and related finite groups (Lecture Notes in Math. Vol. 131, Springer, 1970) 57-95.
5) T. A. Springer, Cusp forms for finite groups, Lecture Notes in Math. Vol. 131, Springer, 1970., 97-120.
6) T. A. Springer, Characters of special groups, Lecture Notes in Math. Vol. 131, Springer, 1970., 121-166.
7) T. A. Springer and R. Steinberg, Conjugacy classes, Lecture Notes in Math. Vol. 131, Springer, 1970., 167-266.
8) G. Glauberman, Correspondences of characters for relatively prime operator groups, Canad. J. Math., Vol. 1465-1488.
9) I.M. Isaacs, Characters of solvable and symplectic groups, Amer. J. Math., 95 (1973), 594-635.

Right : [1] Gelfand-Graev-P. Shapiro, Representation Theory and Automorphic Function.
[2] J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80 (1955), 402-447.
[3] H. Saito, Automorphic forms and algebraic extensions of number fields, Lectures in Math. 8, Dept. Math. Kyoto Univ.
[4] C. W. Curtis, Modular representation of finite groups with split (B, N)-pairs, Sem. on algebraic groups and related finite groups (Lecture Notes in Math. Vol. 131, Springer, 1970) 57-95.
[5] T. A. Springer, Cusp forms for finite groups, Lecture Notes in Math. Vol. 131, Springer, 1970., 97-120.
[6] T. A. Springer, Characters of special groups, Lecture Notes in Math. Vol. 131, Springer, 1970., 121-166.
[7] T. A. Springer and R. Steinberg, Conjugacy classes, Lecture Notes in Math. Vol. 131, Springer, 1970., 167-266.
[8] G. Glauberman, Correspondences of characters for relatively prime operator groups, Canad. J. Math., Vol. 1465-1488.
[9] I. M. Isaacs, Characters of solvable and symplectic groups, Amer. J. Math., 95 (1973), 594-635.

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