On the irreducible characters of the finite unitary groups

Noriaki KAWANAKA

doi:10.2969/jmsj/02930425

Noriaki KAWANAKA

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JOURNAL FREE ACCESS

1977 Volume 29 Issue 3 Pages 425-450

DOI https://doi.org/10.2969/jmsj/02930425

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Published: 1977 Received: April 22, 1976 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) C. Chevalley, Classification des Groupes de Lie Algébriques, Inst. H. Poincaré, Paris, 1958.
2) A. H. Clifford, Representations induced in an invariant subgroup, Ann. of Math.,38 (1937), 533-550.
3) C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York, 1962.
4) V. Ennola, On thee characters of the finite unitary groups, Ann. Acad. Sci. Fenn., 323 (1963), 1-35.
5) W. Feit, Characters of Finite Groups, Benjamin, New York, 1967.
6) G. Glauberman, Correspondences of characters for relatively prime operator groups, Canad. J. Math., 20 (1968), 1465-1488.
7) J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80 (1955), 402-447.
8) S. Nozawa, On the characters of the finite general unitary group U(4, q²), J. Fac. Sci. Univ. Tokyo, 19 (1972), 257-293.
9) S. Nozawa, Characters of the finite general unitary group U(5, q²), J. Fac. Sci. Univ. Tokyo, 23 (1976), 23-74.
10) T. Shintani, Two remarks on irreducible characters of finite general linear groups, J. Math. Soc. Japan, 28 (1976), 396-414.
11) F. A. Springer, Characters of special groups, Sem. on Algebraic Groups andRelated Finite Groups (Lecture Notes in Math. Vol. 131, Springer, Berlin, 1970), 97-120.
12) T. A. Springer and R. Steinberg, Conjugacy classes, ibid., 121-166.
13) R. Steinberg, Representations of algebraic groups, Nagoya Math. J., 22 (1963), 33-56.
14) R. Steinberg, Lectures on Chevalley Groups, Yale University, 1967.
15) R. Steinberg, Endomorphisms of Linear Algebraic Groups, Mem. Amer. Math. Soc., 80, 1968.
16) N. Kawanaka, On the irreducible characters of the finite unitary groups, Proc. Japan Acad., 52 (1976), 95-97.

Right : [1] C. Chevalley, Classification des Groupes de Lie Algébriques, Inst. H. Poincaré, Paris, 1958.
[2] A. H. Clifford, Representations induced in an invariant subgroup, Ann. of Math.,38 (1937), 533-550.
[3] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York, 1962.
[4] V. Ennola, On the characters of the finite unitary groups, Ann. Acad. Sci. Fenn., 323 (1963), 1-35.
[5] W. Feit, Characters of Finite Groups, Benjamin, New York, 1967.
[6] G. Glauberman, Correspondences of characters for relatively prime operator groups, Canad. J. Math., 20 (1968), 1465-1488.
[7] J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc., 80 (1955), 402-447.
[8] S. Nozawa, On the characters of the finite general unitary group U(4,q²), J. Fac. Sci. Univ. Tokyo, 19 (1972), 257-293.
[9] S. Nozawa, Characters of the finite general unitary group U(5,q²), J. Fac. Sci. Univ. Tokyo, 23 (1976), 23-74.
[10] T. Shintani, Two remarks on irreducible characters of finite general linear groups, J. Math. Soc. Japan, 28 (1976), 396-414.
[11] T. A. Springer, Characters of special groups, Sem. on Algebraic Groups and Related Finite Groups (Lecture Notes in Math. Vol. 131, Springer, Berlin, 1970), 97-120.
[12] T. A. Springer and R. Steinberg, Conjugacy classes, Sem. on Algebraic Groups and Related Finite Groups (Lecture Notes in Math. Vol. 131, Springer, Berlin, 1970), 121-166.
[13] R. Steinberg, Representations of algebraic groups, Nagoya Math. J., 22 (1963), 33-56.
[14] R. Steinberg, Lectures on Chevalley Groups, Yale University, 1967.
[15] R. Steinberg, Endomorphisms of Linear Algebraic Groups, Mem. Amer. Math. Soc., 80, 1968.
[16] N. Kawanaka, On the irreducible characters of the finite unitary groups, Proc. Japan Acad., 52 (1976), 95-97.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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