Sur les extensions et la cohomologie des représentations des groupes H n SO(n)
Annales de l'I.H.P. Physique théorique, Volume 32 (1980) no. 1, p. 73-90
@article{AIHPA_1980__32_1_73_0,
     author = {Charfi, Abdelwaheb},
     title = {Sur les extensions et la cohomologie des repr\'esentations des groupes $H\_n \, \wedge \, SO(n)$},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {32},
     number = {1},
     year = {1980},
     pages = {73-90},
     zbl = {0468.22010},
     mrnumber = {574813},
     language = {fr},
     url = {http://www.numdam.org/item/AIHPA_1980__32_1_73_0}
}
Charfi, Abdelwaheb. Sur les extensions et la cohomologie des représentations des groupes $H_n \, \wedge \, SO(n)$. Annales de l'I.H.P. Physique théorique, Volume 32 (1980) no. 1, pp. 73-90. http://www.numdam.org/item/AIHPA_1980__32_1_73_0/

[1] A. Guichardet, Math. Ann., t. 228, 1977, p. 215. | MR 442151 | Zbl 0337.22017

[2] G. Pinczon, Deformations of Representations (à paraître).

[3] E.M. Stein, Adv. in Math., t. 4, 1970, p. 172; R.A. Kunze and E.M. Stein, Ibid. t. 11, 1973, p. 1. | MR 263985 | Zbl 0285.22014

[4] M. Flato, J. Simon, Letters in Math. phys., t. 2, 1977, p. 155; Ibid., Linearization of Relativistic Non-linear wave Equations (à paraître). | MR 463368 | Zbl 0392.22013

[5] M. Flato, G. Pinczon, J. Simon, Ann. Scient. Ec. Norm. Sup., (4) 10, 1977, p. 405. | Numdam | MR 507241 | Zbl 0384.22005

[6] G. Rideau, Gauges of first and second kind and Poincaré invariance in Proceedings of the 2nd International Colloquium on group Theoret ical Methods in physics, Nijmegen, June 25-29, 1973 (University of Nijmegen, the Netherlands); Ibid., On the two-po ints Function in Landau Gauge, preprint Université Paris VII, juillet 1975. | Zbl 0293.22021

[7] S. Horchani, Ann. Inst. Henri Poincaré, t. 15, 1971, p. 321. | Numdam | MR 292403 | Zbl 0224.22020

[8] C. Piron, Foundations of Quantum Physics. W. A. Benjamin, Inc. Reading, Massachusetts, 1976. | MR 673578 | Zbl 0333.46050

[9] D. Beau, S. Horchani, J. Math. phys.. t. 20, 1979, p. 1700. | MR 543905 | Zbl 0416.22029

[10] E. Angelopoulos, Ann. Inst. Henri Poincaré, t. 18, 1973, p. 39. | Numdam

[11] J. Dixmier, Bull. Soc. Math. France, t. 85, 1957, p. 325; Ibid., t. 87, 1959, p. 65. A.A. Kirillov. Russ. Math. Surv., t. 17, 1962, p. 53.

[12] G. Mackey, Acta Math., t. 99, 1968, p. 265. | MR 98328 | Zbl 0082.11301

[13] G. Mackey, The Theory of Unitary Group Representations (University of Chicago Press, Chicago and London), 1976. | MR 396826 | Zbl 0344.22002

[14] J.M. Jauch, Helv. Phys. Acta, t. 37, 1964, p. 284. | MR 181241 | Zbl 0151.43805

[15] S. Horchani, C. R. Acad. Sci. Paris, t. 277 A, 1973, p. 201. | MR 573078 | Zbl 0267.17009

[16] L.P. Horwitz, C. Piron, F. Reuse, Helv. Phys. Acta, t. 48, 1975, p. 546; C. Piron, F. Reuse, Ibid., t. 51, 1978, p. 146. | MR 484146

[17] G. Pinczon, J. Simon, Letters in Math. phys., t. 1, 1975, p. 83. | MR 399363 | Zbl 0339.22013

[18] G. Pinczon, J. Simon, Extensions of representations and Cohomology (à paraître dans Reports on Math. phys.). | Zbl 0445.22013

[19] A. Guichardet, Bull. Sc. Math., (2), t. 95, 1971, p. 161 et t. 96, 1972, p. 305. | Zbl 0218.57030

[20] A. Guichardet, Extensions des représentations induites des produits semi-directs, preprint M. 357-06-78, centre Mathématique, École Polytechnique, Palaiseau (France). | MR 546662

[21] A.O. Barut, R. Raczka, Theory of group representations and Applications (PWN, polish Scientific publishers, Warzawa, 1977). | MR 495836

[22] L. Nachbin, The Haar Integral (van Nostrand Co., New York, 1965). | MR 175995 | Zbl 0127.07602

[23] N. Poulsen J., Funct. Anal., t. 9, 1972, p. 87. | Zbl 0237.22013

[24] W. Miller, On Lie Algebras and some Special Functions of mathematical Physics (Amer. Math. Soc. Memoirs, n° 50, 1964) et Lie Theory and special Functions (Academic Press, New York, 1968). | MR 173031 | Zbl 0132.29602