On some classical space-time groups and their “SU6 generalizations”
Bacry, H.
Annales de l'I.H.P. Physique théorique, Tome 3 (1965), p. 327-353 / Harvested from Numdam
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Publié le : 1965-01-01
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     author = {Bacry, H.},
     title = {On some classical space-time groups and their ``SU6 generalizations''},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {3},
     year = {1965},
     pages = {327-353},
     mrnumber = {192842},
     zbl = {0138.46203},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1965__2_4_327_0}
}

Bacry, H. On some classical space-time groups and their “SU6 generalizations”. Annales de l'I.H.P. Physique théorique, Tome 3 (1965) pp. 327-353. http://gdmltest.u-ga.fr/item/AIHPA_1965__2_4_327_0/

[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

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. | MR 145966 | Zbl 0107.40804

See also J. Wess, Nuovo Cimento, 18, 1960, 1086. | Zbl 0094.42601

[2] B. Sakita, Phys. Rev., 136, 1964, B1756. | MR 180224

F. Gürsey and L.A. Radicati, Phys. Rev. Letters, 13, 1964, 173. | MR 167226

H. Bacry and J. Nuyts, Phys. Letters, 12, 156 and 13, 1964, 359. | MR 184628

[4] Dyads are very convenient in the investigation of the Lorentz group. See, for instance, H. Bacry, Thèse, Annales de Physique, 8, 1963, 197.

J.M. Souriau, Calcul linéaire (Paris, Presses Universitaires, 1960). | MR 110718 | Zbl 0086.01501

[6]D. Spelser, Lectures given at the Istanbul Summer School (1962), to be published.

[10] [M. Gell-Mann, Phys. Letters, 8, 1964, 214 and G. Zweig, Cern preprints TH. 401 and 412,1964]. | MR 140308

[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. » | Zbl 0126.24603

[12] M. Gell-Mann, Phys. Rev., 125, 1962, 1067. | MR 138414 | Zbl 0107.44301

[14] H. Bacry and J. Nuyts, « Remarks on an enlarged Poincaré group: inhomogeneous SL(6,C) group » (to be published in Nuovo Cimento). | Zbl 0127.20807

[19] See ref. [14] [16]. See also T. Fulton and J. Wess, Phys. Letters, 14, 1965, 57. | Zbl 0151.44702

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). | MR 194053