Induced representations of the (1+4) de Sitter group in an angular momentum basis and the decomposition of these representations with respect to representations of the Lorentz group
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 13 (1970) no. 1, pp. 77-98. 
@article{AIHPA_1970__13_1_77_0,
     author = {Str\"om, Staffan},
     title = {Induced representations of the $(1 + 4)$ de {Sitter} group in an angular momentum basis and the decomposition of these representations with respect to representations of the {Lorentz} group},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {77--98},
     publisher = {Gauthier-Villars},
     volume = {13},
     number = {1},
     year = {1970},
     mrnumber = {273930},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1970__13_1_77_0/}
}
TY  - JOUR
AU  - Ström, Staffan
TI  - Induced representations of the $(1 + 4)$ de Sitter group in an angular momentum basis and the decomposition of these representations with respect to representations of the Lorentz group
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1970
SP  - 77
EP  - 98
VL  - 13
IS  - 1
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1970__13_1_77_0/
LA  - en
ID  - AIHPA_1970__13_1_77_0
ER  - 
%0 Journal Article
%A Ström, Staffan
%T Induced representations of the $(1 + 4)$ de Sitter group in an angular momentum basis and the decomposition of these representations with respect to representations of the Lorentz group
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1970
%P 77-98
%V 13
%N 1
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1970__13_1_77_0/
%G en
%F AIHPA_1970__13_1_77_0
Ström, Staffan. Induced representations of the $(1 + 4)$ de Sitter group in an angular momentum basis and the decomposition of these representations with respect to representations of the Lorentz group. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 13 (1970) no. 1, pp. 77-98. http://www.numdam.org/item/AIHPA_1970__13_1_77_0/

[1] W. Thirring, Acta Physica Austriaca, suppl. IV, 1967, 269.

[2] O. Nachtmann, Quantum theory in de Sitter space, preprint, Institute for Theoretical Physics, Univ. of Vienna, 1967. | MR | Zbl

[3] O. Nachtmann, Dynamische stabilität im de Sitter raum, preprint, Institute for Theoretical Physics, Univ. of Vienna, 1967. | MR

[4] Chou-Kuang-Chao and L.G. Zastavenko, Soviet Physics J. E. T. P., 35 (8), 1959, 990.

[5] H. Joos, Fortschr. Phys., 10, 1962, 65. | Zbl

[6] G. Györgyi, Kepler's equation, Fock variables, Bacry's generators and Dirac brackets, preprint 1C/67/46, Trieste 1967.

[7] A.O. Barut and A. Böhm, Phys. Rev., 139, 1965, B 1107. | MR

[8] R. Takahashi, Bull. Soc. Math. de France, 91, 1963, 289. | Numdam | MR | Zbl

[9] J. Dixmier, J. Bull. Soc. Math. de France, 89, 1961, 9. | Numdam | MR | Zbl

[10] S. Ström, Arkiv Fysik 40, 1969, 1. | Zbl

[11] E.M. Stein, A survey of representations of non-compact groups, in High energy physics and elementary particles, Trieste, 1965. | MR

[12] W. Pauli, Continuous groups in quantum mechanics. CERN Report, 1956, 56-31.

[13] L.C. Biedenharn, J. Math. Phys., 2, 1961, 433. | Zbl

[14] I.M. Gelfand and M.L. Zeitlin, Dokl. Akad. Nauk SSSR, 71, 1950, 1017. | MR | Zbl

[15] S. Ström, Arkiv Fysik, 30, 1965, 455. | MR | Zbl

[16] J.G. Kuriyan, N. Mukunda and E.C.G. Sudarshan, Comm. Math. Phys., 8, 1968, 204. | MR | Zbl

[17] G. Agren, unpublished.

[18] Erdelyi et al., Higher transcendental functions, vol. III. New York, 1953. | Zbl

[19] S. Ström, Arkiv Fysik, 38, 1968, 373. | MR | Zbl

[20] B. Romm, Soviet Mathematics Dokl., 4, 1963, 1257. | Zbl

[21] A. Sciarrino and M. Toller, J. Math. Phys., 8, 1967, 1252. | MR | Zbl

[22] N. Mukunda, J. Math. Phys., 9, 1968, 50. | MR | Zbl

[23] S. Ström, Arkiv Fysik, 34, 1967, 215. | MR | Zbl

[24] R. Delbourgo, K. Koller and P. Mahanta, Nuovo Cimento, 52A, 1967, 1254. | Zbl

[25] G. Schiffman, these proceedings.

[26] C. Fronsdal, On the supplementary series of representations of semi-simple non-compact groups. ICTP Internal report 15/1967, Trieste, August 1967.

[27] J. Niederle, J. Math. Phys., 8, 1967, 1921. | Zbl

[28] A. Orihara, Sci. Papers. College of General Education, Univ. of Tokyo, 16, 1966, 135. | MR | Zbl

[29] S. Ström, Arkiv Fysik, 29, 1965, 467. | MR | Zbl

[30] S. Ström, Arkiv Fysik, 33, 1967, 465. | MR | Zbl

[31] Dao Wong Due and Nguyen Van Hieu, Ann. Inst. H. Poincaré, A6, 1967, 17. | Numdam | Zbl

[32] M.A. Neumark, Lineare Darstellungen der Lorentz Gruppe. Berlin, Deutscher Verlag der Wissenschaften, 1963. | MR | Zbl

[33] M. Toller, The Laplace transform on the Lorentz group and a generalization of the Regge-pole hypothesis. Nota interna No. 76, Dept. of Physics, Univ. of Rome, 1965.

[34] B. Romm, Soviet Mathematics Dokl., 7, 1966, 783. | Zbl

[35] N. Mukunda, J. Math. Phys., 9, 1968, 417. | Zbl