Sur les extensions et la cohomologie des représentations des groupes H n S O ( n )

Abdelwaheb Charfi

Annales de l'I.H.P. Physique théorique (1980)

  • Volume: 32, Issue: 1, page 73-90
  • ISSN: 0246-0211

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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 32.1 (1980): 73-90. <http://eudml.org/doc/76062>.

@article{Charfi1980,
author = {Charfi, Abdelwaheb},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {cohomology of representations; irreducible unitary representations; Heisenberg group; extensions of representations},
language = {fre},
number = {1},
pages = {73-90},
publisher = {Gauthier-Villars},
title = {Sur les extensions et la cohomologie des représentations des groupes $H_n \, \wedge \, SO(n)$},
url = {http://eudml.org/doc/76062},
volume = {32},
year = {1980},
}

TY - JOUR
AU - Charfi, Abdelwaheb
TI - Sur les extensions et la cohomologie des représentations des groupes $H_n \, \wedge \, SO(n)$
JO - Annales de l'I.H.P. Physique théorique
PY - 1980
PB - Gauthier-Villars
VL - 32
IS - 1
SP - 73
EP - 90
LA - fre
KW - cohomology of representations; irreducible unitary representations; Heisenberg group; extensions of representations
UR - http://eudml.org/doc/76062
ER -

References

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  6. [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. Zbl0293.22021
  7. [7] S. Horchani, Ann. Inst. Henri Poincaré, t. 15, 1971, p. 321. Zbl0224.22020MR292403
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  11. [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. [12] G. Mackey, Acta Math., t. 99, 1968, p. 265. Zbl0082.11301MR98328
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  16. [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. MR484146
  17. [17] G. Pinczon, J. Simon, Letters in Math. phys., t. 1, 1975, p. 83. Zbl0339.22013MR399363
  18. [18] G. Pinczon, J. Simon, Extensions of representations and Cohomology (à paraître dans Reports on Math. phys.). Zbl0445.22013
  19. [19] A. Guichardet, Bull. Sc. Math., (2), t. 95, 1971, p. 161 et t. 96, 1972, p. 305. Zbl0218.57030
  20. [20] A. Guichardet, Extensions des représentations induites des produits semi-directs, preprint M. 357-06-78, centre Mathématique, École Polytechnique, Palaiseau (France). Zbl0415.22013MR546662
  21. [21] A.O. Barut, R. Raczka, Theory of group representations and Applications (PWN, polish Scientific publishers, Warzawa, 1977). MR495836
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  24. [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). Zbl0132.29602MR173031

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