@article{AIHPA_1965__3_1_13_0, 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}, publisher = {Gauthier-Villars}, volume = {3}, number = {1}, year = {1965}, mrnumber = {195478}, zbl = {0137.25603}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1965__3_1_13_0/} }
TY - JOUR AU - Biedenharn, L. C. AU - Nuyts, J. AU - Straumann, N. TI - On the unitary representations of $SU(1, 1)$ and $SU(2, 1)$ JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1965 SP - 13 EP - 39 VL - 3 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1965__3_1_13_0/ LA - en ID - AIHPA_1965__3_1_13_0 ER -
%0 Journal Article %A Biedenharn, L. C. %A Nuyts, J. %A Straumann, N. %T On the unitary representations of $SU(1, 1)$ and $SU(2, 1)$ %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1965 %P 13-39 %V 3 %N 1 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1965__3_1_13_0/ %G en %F AIHPA_1965__3_1_13_0
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, Tome 3 (1965) no. 1, pp. 13-39. http://www.numdam.org/item/AIHPA_1965__3_1_13_0/
[1] Ann. Math., t. 48, 1947, p. 568-640. | MR | Zbl
,[2] Nuovo Cimento, t. 32, 1964, p. 473-485. | MR | Zbl
and ,[3] Rev. Modern Phys., t. 34, 1962, p. 442. | MR | Zbl
, and ,[4] Proc. Roy. Soc., t. A 284, 1965, p. 146 and subsequent papers. | MR
, and ,Phys. Rev. Letters, t. 14, 1965, p. 509, 577; | MR
and ,Phys. Rev. Letters, t. 14, 1965, p. 48; and , Phys. Letters, t. 14, 1965, p. 68.
, , and ,[5] Ann. Math., t. 40, 1939, p. 149-204. | JFM | Zbl
,[6] Phys. Rev., t. 136, 1964, p. B 1756; | MR
,Phys. Rev. Letters, t. 14, 1965, p. 404; | MR
and ,Phys. Letters, t. 14, 1965, p. 346 ; t. 15, 1965, p. 99, 101; | MR
,Nuovo Cimento (to be published) ;
and ,Phys. Letters, t. 14, 1965, p. 57, 334; | Zbl
and ,Phys. Rev. Letters, t. 13, 1964, p. 678. | MR | Zbl
, and ,[7] Unitäre Darstellungen der Klassischen Gruppen, Akademie Verlag, Berlin (1957). | MR | Zbl
and ,[8] Doklady Akad. Naouk S. S. S. R., t. 98, 1954, p. 517-520. | MR | Zbl
,Trudy Moskow Math. Obs., t. 7, 1958, p. 335. | Zbl
,[9] Proc. Natl. Acad. Sci. U. S., t. 40, 1954, p. 1076-1077, 1078-1080. | Zbl
,[10] I. C. T. P., t. 22, 1965, Trieste;
and ,I. C. T. P., t. 13, 1965, Trieste;
,I. C. T. P., t. 8, 1965, Trieste.
,[11] J. Math. Phys., t. 4, 1963, p. 436; | Zbl
,J. Math. Phys., t. 4, 1963, p. 1449; | MR | Zbl
and ,J. Math. Phys., t. 5, 1964, p. 1723 ; | MR | Zbl
and ,J. Math. Phys., t. 5, 1964, p. 1730. | MR | Zbl
and ,[12] Proc. Koningl. Akad. Amsterdam, t. 34, 1931, p. 844; | Zbl
,Math. Ann., t. 111, 1935, p. 1. | JFM | MR | Zbl
and ,[13] C. T. S. L., t. 20, 1961, unpublished;
,Phys. Rev., t. 125, 1963, p. 1067. | MR | Zbl
,[14] 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] Darstellungen von Gruppen, Springer Verlag, p. 143. | Zbl
,[17] Transactions of the American Math. Soc., t. 73, 1952, p. 496, Theorem 1. | MR | Zbl
,