On some classical space-time groups and their “SU6 generalizations”

H. Bacry

Annales de l'I.H.P. Physique théorique (1965)

  • Volume: 2, Issue: 4, page 327-353
  • ISSN: 0246-0211

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Bacry, H.. "On some classical space-time groups and their “SU6 generalizations”." Annales de l'I.H.P. Physique théorique 2.4 (1965): 327-353. <http://eudml.org/doc/75505>.

@article{Bacry1965,
author = {Bacry, H.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {quantum theory},
language = {eng},
number = {4},
pages = {327-353},
publisher = {Gauthier-Villars},
title = {On some classical space-time groups and their “SU6 generalizations”},
url = {http://eudml.org/doc/75505},
volume = {2},
year = {1965},
}

TY - JOUR
AU - Bacry, H.
TI - On some classical space-time groups and their “SU6 generalizations”
JO - Annales de l'I.H.P. Physique théorique
PY - 1965
PB - Gauthier-Villars
VL - 2
IS - 4
SP - 327
EP - 353
LA - eng
KW - quantum theory
UR - http://eudml.org/doc/75505
ER -

References

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  1. [1] The conformal group was first introduced by H. BATEMAN, Proc. Lond. Math. Soc., 8, 1910, 223 and E. Cunningham, Proc. Lond. Math. Soc., 8, 1910, 77 
  2. Invariance of the Maxwell equations leads to the conformal group so far as space time is assumed to be flat. For a more general case, see T. Fulton, F. Rohrlich and L. Witten, Rev. Mod. Phys., 34, 1962, 442. Zbl0107.40804MR145966
  3. See also J. Wess, Nuovo Cimento, 18, 1960, 1086. Zbl0094.42601
  4. [2] B. Sakita, Phys. Rev., 136, 1964, B1756. MR180224
  5. F. Gürsey and L.A. Radicati, Phys. Rev. Letters, 13, 1964, 173. MR167226
  6. H. Bacry and J. Nuyts, Phys. Letters, 12, 156 and 13, 1964, 359. MR184628
  7. [4] Dyads are very convenient in the investigation of the Lorentz group. See, for instance, H. Bacry, Thèse, Annales de Physique, 8, 1963, 197. 
  8. J.M. Souriau, Calcul linéaire (Paris, Presses Universitaires, 1960). Zbl0086.01501MR110718
  9. [6] D. Spelser, Lectures given at the Istanbul Summer School (1962), to be published. 
  10. [10] [ M. Gell-Mann, Phys. Letters, 8, 1964, 214 and G. Zweig, Cern preprints TH. 401 and 412,1964]. MR140308
  11. [11] R.P. Feynman, M. Gell-Mann and G. Zweig in Phys. Rev. Letters (to be published), « The group U(6) x U(6) generated by current components. » Zbl0126.24603
  12. [12] M. Gell-Mann, Phys. Rev., 125, 1962, 1067. Zbl0107.44301MR138414
  13. [14] H. Bacry and J. Nuyts, « Remarks on an enlarged Poincaré group: inhomogeneous SL(6,C) group » (to be published in Nuovo Cimento). Zbl0127.20807
  14. [19] See ref. [14] [16]. See also T. Fulton and J. Wess, Phys. Letters, 14, 1965, 57. Zbl0151.44702
  15. R. Delburgo, A. Salam and J. Strathdee, « U(12) and broken SU(6) symmetry », « Ü(12) and the baryon form factor », preprints Trieste (January 1965). MR194053

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