On the unitary representations of SU(1,1) and SU(2,1)
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 3 (1965) no. 1, pp. 13-39.
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     author = {Biedenharn, L. C. and Nuyts, J. and Straumann, N.},
     title = {On the unitary representations of $SU(1, 1)$ and $SU(2, 1)$},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {13--39},
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     mrnumber = {195478},
     zbl = {0137.25603},
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     url = {http://archive.numdam.org/item/AIHPA_1965__3_1_13_0/}
}
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Biedenharn, L. C.; Nuyts, J.; Straumann, N. On the unitary representations of $SU(1, 1)$ and $SU(2, 1)$. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 3 (1965) no. 1, pp. 13-39. http://archive.numdam.org/item/AIHPA_1965__3_1_13_0/

[1] V. Bargmann, Ann. Math., t. 48, 1947, p. 568-640. | MR | Zbl

[2] A. Esteve and P.G. Sona, Nuovo Cimento, t. 32, 1964, p. 473-485. | MR | Zbl

[3] T. Fulton, F. Rohrlich and L. Witten, Rev. Modern Phys., t. 34, 1962, p. 442. | MR | Zbl

[4] R. Delbourgo, A. Salam and J. Strathdee, Proc. Roy. Soc., t. A 284, 1965, p. 146 and subsequent papers. | MR

M.A.B. Bég and A. Pais, Phys. Rev. Letters, t. 14, 1965, p. 509, 577; | MR

K. Bardacki, J.M. Cornwall, P.G.O. Freund and B.W. Lee, Phys. Rev. Letters, t. 14, 1965, p. 48; J.J. Agasshi and P. Roman, Phys. Letters, t. 14, 1965, p. 68.

[5] E.P. Wigner, Ann. Math., t. 40, 1939, p. 149-204. | JFM | Zbl

[6] B. Sakita, Phys. Rev., t. 136, 1964, p. B 1756; | MR

B. Sakita and K.C. Wali, Phys. Rev. Letters, t. 14, 1965, p. 404; | MR

W. Rühl, Phys. Letters, t. 14, 1965, p. 346 ; t. 15, 1965, p. 99, 101; | MR

H. Bacry and J. Nuyts, Nuovo Cimento (to be published) ;

T. Fulton and J. Wess, Phys. Letters, t. 14, 1965, p. 57, 334; | Zbl

R.P. Feynman, M. Gell-Mann and G. Zweig, Phys. Rev. Letters, t. 13, 1964, p. 678. | MR | Zbl

[7] I.M. Gelfand and M.A. Neumark, Unitäre Darstellungen der Klassischen Gruppen, Akademie Verlag, Berlin (1957). | MR | Zbl

[8] M.I. Graev, Doklady Akad. Naouk S. S. S. R., t. 98, 1954, p. 517-520. | MR | Zbl

M.I. Graev, Trudy Moskow Math. Obs., t. 7, 1958, p. 335. | Zbl

[9] Harish-Chandra, Proc. Natl. Acad. Sci. U. S., t. 40, 1954, p. 1076-1077, 1078-1080. | Zbl

[10] A.O. Barut and C. Fronsdal, I. C. T. P., t. 22, 1965, Trieste;

C. Fronsdal, I. C. T. P., t. 13, 1965, Trieste;

C. Fronsdal, I. C. T. P., t. 8, 1965, Trieste.

[11] L.C. Biedenharn, J. Math. Phys., t. 4, 1963, p. 436; | Zbl

G.E. Baird and L.C. Biedenharn, J. Math. Phys., t. 4, 1963, p. 1449; | MR | Zbl

G.E. Baird and L.C. Biedenharn, J. Math. Phys., t. 5, 1964, p. 1723 ; | MR | Zbl

G.E. Baird and L.C. Biedenharn, J. Math. Phys., t. 5, 1964, p. 1730. | MR | Zbl

[12] H. Casimir, Proc. Koningl. Akad. Amsterdam, t. 34, 1931, p. 844; | Zbl

H. Casimir and B.L. Van Der Waerden, Math. Ann., t. 111, 1935, p. 1. | JFM | MR | Zbl

[13] M. Gell-Mann, C. T. S. L., t. 20, 1961, unpublished;

M. Gell-Mann, Phys. Rev., t. 125, 1963, p. 1067. | MR | Zbl

[14] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, 1962, N. Y. | MR | Zbl

[15] Séminaire « Sophus Lie », 1954-1955, École Normale Supérieure, Paris, p. 17-104.

[16] H. Boerner, Darstellungen von Gruppen, Springer Verlag, p. 143. | Zbl

[17] R. Godement, Transactions of the American Math. Soc., t. 73, 1952, p. 496, Theorem 1. | MR | Zbl