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
Ström, Staffan
Annales de l'I.H.P. Physique théorique, Tome 13 (1970), p. 77-98 / Harvested from Numdam
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@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'I.H.P. Physique th\'eorique},
     volume = {13},
     year = {1970},
     pages = {77-98},
     mrnumber = {273930},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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'I.H.P. Physique théorique, Tome 13 (1970) pp. 77-98. http://gdmltest.u-ga.fr/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 215587 | Zbl 0163.21803

[3] O. Nachtmann, Dynamische stabilität im de Sitter raum, preprint, Institute for Theoretical Physics, Univ. of Vienna, 1967. | MR 215587

[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 0131.44002

[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 192843

[8] R. Takahashi, Bull. Soc. Math. de France, 91, 1963, 289. | Numdam | MR 179296 | Zbl 0196.15501

[9] J. Dixmier, J. Bull. Soc. Math. de France, 89, 1961, 9. | Numdam | MR 140614 | Zbl 0217.08801

[10] S. Ström, Arkiv Fysik 40, 1969, 1. | Zbl 0186.28404

[11] E.M. Stein, A survey of representations of non-compact groups, in High energy physics and elementary particles, Trieste, 1965. | MR 206159

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

[13] L.C. Biedenharn, J. Math. Phys., 2, 1961, 433. | Zbl 0098.12802

[14] I.M. Gelfand and M.L. Zeitlin, Dokl. Akad. Nauk SSSR, 71, 1950, 1017. | MR 841131 | Zbl 0037.15302

[15] S. Ström, Arkiv Fysik, 30, 1965, 455. | MR 189638 | Zbl 0138.43802

[16] J.G. Kuriyan, N. Mukunda and E.C.G. Sudarshan, Comm. Math. Phys., 8, 1968, 204. | MR 229434 | Zbl 0155.57301

[17] G. Agren, unpublished.

[18] Erdelyi et al., Higher transcendental functions, vol. III. New York, 1953. | Zbl 0064.06302

[19] S. Ström, Arkiv Fysik, 38, 1968, 373. | MR 238999 | Zbl 0167.56102

[20] B. Romm, Soviet Mathematics Dokl., 4, 1963, 1257. | Zbl 0185.21603

[21] A. Sciarrino and M. Toller, J. Math. Phys., 8, 1967, 1252. | MR 215580 | Zbl 0163.22905

[22] N. Mukunda, J. Math. Phys., 9, 1968, 50. | MR 225537 | Zbl 0158.46002

[23] S. Ström, Arkiv Fysik, 34, 1967, 215. | MR 219661 | Zbl 0155.32501

[24] R. Delbourgo, K. Koller and P. Mahanta, Nuovo Cimento, 52A, 1967, 1254. | Zbl 0158.46003

[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 0173.30103

[28] A. Orihara, Sci. Papers. College of General Education, Univ. of Tokyo, 16, 1966, 135. | MR 204573 | Zbl 0198.47503

[29] S. Ström, Arkiv Fysik, 29, 1965, 467. | MR 197118 | Zbl 0138.38401

[30] S. Ström, Arkiv Fysik, 33, 1967, 465. | MR 217219 | Zbl 0148.18404

[31] Dao Wong Due and Nguyen Van Hieu, Ann. Inst. H. Poincaré, A6, 1967, 17. | Zbl 0161.23702

[32] M.A. Neumark, Lineare Darstellungen der Lorentz Gruppe. Berlin, Deutscher Verlag der Wissenschaften, 1963. | MR 167568 | Zbl 0111.12203

[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 0185.21604

[35] N. Mukunda, J. Math. Phys., 9, 1968, 417. | Zbl 0164.25402 | Zbl 0159.29301