On certain square-integrable irreducible unitary representations of some p-adic linear groups

Takuro SHINTANI

doi:10.2969/jmsj/02030522

Takuro SHINTANI

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ジャーナルフリー

1968 年 20 巻 3 号 p. 522-565

DOI https://doi.org/10.2969/jmsj/02030522

詳細

Published: 1968 Received: 1968/03/08 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience Publishers, New York, 1962.
2) R. Godement, Sur les relations d'orthogonalité de V. Bargmann, I et II, C. R. Acad. Sci. Paris, 225 (1947), (I) 521-523, (II) 657-659.
3) Harish-Chandra, (i) Representations of semi-simple Lie groups, III, Trans. Amer. Math. Soc., 76 (1954), 234-253. (ii) Representations of semi-simple Lie groups, VI, Amer. J. Math., 78 (1956), 564-628.
4) S. Lang, Algebraic Numbers, Addison-Wesley, 1964.
5) F. I. Mautner, Spherical functions over p-adic fields II, Amer. J. Math., 86 (1964), 171-200.
6) T. Shintani, On certain square integrable irreducible unitary representations of some p-adic linear groups, to appear in Proc. Japan Acad.
7) S. Tanaka, On irreducible unitary representations of some special linear groups of the second order I, Osaka J. Math., 3 (1966), 217-242.
8) A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211.

Right : [1] C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience Publishers, New York, 1962.
[2] R. Godement, Sur les relations d'orthogonalité de V. Bargmann, I et II, C. R. Acad. Sci. Paris, 225 (1947), (I) 521-523, (II) 657-659.
[3] Harish-Chandra, (i) Representations of semi-simple Lie groups, III, Trans. Amer. Math. Soc., 76 (1954), 234-253.
[3] Harish-Chandra, (ii) Representations of semi-simple Lie groups, VI, Amer. J. Math., 78 (1956), 564-628.
[4] S. Lang, Algebraic Numbers, Addison-Wesley, 1964.
[5] F. I. Mautner, Spherical functions over _??_-adic fields II, Amer. J. Math., 86 (1964), 171-200.
[6] T. Shintani, On certain square integrable irreducible unitary representations of some p-adic linear groups, to appear in Proc. Japan Acad.
[7] S. Tanaka, On irreducible unitary representations of some special linear groups of the second order I, Osaka J. Math., 3 (1966), 217-242.
[8] A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211.

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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