A duality theorem for the real unimodular group of second order

Nobuhiko TATSUUMA

doi:10.2969/jmsj/01730313

Nobuhiko TATSUUMA

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JOURNAL FREE ACCESS

1965 Volume 17 Issue 3 Pages 313-332

DOI https://doi.org/10.2969/jmsj/01730313

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Published: 1965 Received: January 09, 1965 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) L. Pontrjagin, Topological groups, Princeton Univ. Press, 1939
2) T. Tannaka, Ueber den Dualitätsatz der nichtkommutativen topologischen Gruppen, Tohoku Math. J., 45 (1939), 1-12.
3) Harish-Chandra, Lie algebras and the Tannaka duality theorem, Ann. of Math., 51 (1950), 299-330.
4) V. Bargmann, Irreducible unitary representations of the Lorentz group, Ann. of Math., 48 (1947), 568-640.
5) L. Pukánszky, On the Kronecker products of irreducible representations of the 2×2 real unimodular group. I, Trans. of Amer. Math. Soc., 100 (1961), 116-152.
6) J. Dixmier, Les algèbres d'operateurs dans l'espace Hilbertien, Gauthier-Villars, 1957.
7) N. Tatsuuma, A duality theorem for the real unimodular group of second order, Proc. Japan Acad., 40 (1964), 638-642.

Right : [1] L. Pontrjagin, Topological groups, Princeton Univ. Press, 1939
[2] T. Tannaka, Ueber den Dualitätsatz der nichtkommutativen topologischen Gruppen, Tôhoku Math. J., 45 (1939), 1-12.
[3] Harish-Chandra, Lie algebras and the Tannaka duality theorem, Ann. of Math., 51 (1950), 299-330.
[4] V. Bargmann, Irreducible unitary representations of the Lorentz group, Ann. of Math., 48 (1947), 568-640.
[5] L. Pukánszky, On the Kronecker products of irreducible representations of the 2×2 real unimodular group. I, Trans. of Amer. Math. Soc., 100 (1961), 116-152.
[6] J. Dixmier, Les algèbres d'operateurs dans l'espace Hilbertien, Gauthier-Villars, 1957.
[7] N. Tatsuuma, A duality theorem for the real unimodular group of second order, Proc. Japan Acad., 40 (1964), 638-642.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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