On the decomposition of the tensorial product of two representations of the Poincaré group —Case with at least one imaginary mass

J. Bertrand

Annales de l'I.H.P. Physique théorique (1970)

  • Volume: 13, Issue: 2, page 163-194
  • ISSN: 0246-0211

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Bertrand, J.. "On the decomposition of the tensorial product of two representations of the Poincaré group —Case with at least one imaginary mass." Annales de l'I.H.P. Physique théorique 13.2 (1970): 163-194. <http://eudml.org/doc/75672>.

@article{Bertrand1970,
author = {Bertrand, J.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {163-194},
publisher = {Gauthier-Villars},
title = {On the decomposition of the tensorial product of two representations of the Poincaré group —Case with at least one imaginary mass},
url = {http://eudml.org/doc/75672},
volume = {13},
year = {1970},
}

TY - JOUR
AU - Bertrand, J.
TI - On the decomposition of the tensorial product of two representations of the Poincaré group —Case with at least one imaginary mass
JO - Annales de l'I.H.P. Physique théorique
PY - 1970
PB - Gauthier-Villars
VL - 13
IS - 2
SP - 163
EP - 194
LA - eng
UR - http://eudml.org/doc/75672
ER -

References

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  2. [2] L. Pukanszky, Journal of Math. and Mec., t. 10, 1961, p. 475. Zbl0099.25502MR140617
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  4. [4] P. Moussa and R. Stora, Some Remarks on the product of irreducible representations of the inhomogeneous Lorentz group. Lectures in Theoretical physics VII-A, University of Colorado Press, Boulder, 1964. MR189470
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  8. [8] W.H. Klink, Clebsch-Gordan coefficients and functions over cosets. University of Iowa preprint, October 1967. MR250579
  9. [9] G. Mackey, Induced Representations of locally compact Groups. Annals of Mathematics, t. 55, 1952, p. 101, t. 58, 1953, p. 193. Infinite dimensional Group Representations. Bulletin of the American Mathematical Society, t. 69, 1963, p. 628. Zbl0046.11601
  10. [10] M.A. Naimark, Les représentations linéaires du groupe de Lorentz. Dunod, Paris, 1962, Chapter I and III. Zbl0100.12002MR138669
  11. [11] V. Bargmann, Annals of Mathematics, t. 48, 1947, p. 568 ; our ρ/2 is identical with Bargmann's s (principal series) and our s/2 with his k (discreet series). Zbl0045.38801MR21942
  12. [12] I.M. Gelfand and N. Ya. Vilenkin, Les Distributions, t. IV, Dunod, Paris, 1967, chapter I. Zbl0179.18502
  13. [13] I.M. Gelfand, M.I. Graev and N. Ya. Vilenkin, Generalized Functions, Vol. V, Academic Press, New York, 1966, chapter VII. Zbl0144.17202
  14. [14] I.M. Gelfand and G.E. Chilov, Les distributions, t. I, Dunod, Paris, 1962. Zbl0115.10102MR132390
  15. [15] A.O. Barut and E.C. Phillips, Commun. Math. Phys., t. 8, 1965, p. 52. Zbl0161.23902MR226912
  16. [16] N. Ja. Vilenkin, Fonctions spéciales et théorie de la représentation des groupes. Dunod, 1969, chapter VII, § 3. Zbl0172.18405MR243143

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