On the unitary representations of S U ( 1 , 1 ) and S U ( 2 , 1 )

L. C. Biedenharn; J. Nuyts; N. Straumann

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

  • Volume: 3, Issue: 1, page 13-39
  • ISSN: 0246-0211

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Biedenharn, L. C., Nuyts, J., and Straumann, N.. "On the unitary representations of $SU(1, 1)$ and $SU(2, 1)$." Annales de l'I.H.P. Physique théorique 3.1 (1965): 13-39. <http://eudml.org/doc/75508>.

@article{Biedenharn1965,
author = {Biedenharn, L. C., Nuyts, J., Straumann, N.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {group theory},
language = {eng},
number = {1},
pages = {13-39},
publisher = {Gauthier-Villars},
title = {On the unitary representations of $SU(1, 1)$ and $SU(2, 1)$},
url = {http://eudml.org/doc/75508},
volume = {3},
year = {1965},
}

TY - JOUR
AU - Biedenharn, L. C.
AU - Nuyts, J.
AU - Straumann, N.
TI - On the unitary representations of $SU(1, 1)$ and $SU(2, 1)$
JO - Annales de l'I.H.P. Physique théorique
PY - 1965
PB - Gauthier-Villars
VL - 3
IS - 1
SP - 13
EP - 39
LA - eng
KW - group theory
UR - http://eudml.org/doc/75508
ER -

References

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  1. [1] V. Bargmann, Ann. Math., t. 48, 1947, p. 568-640. Zbl0045.38801MR21942
  2. [2] A. Esteve and P.G. Sona, Nuovo Cimento, t. 32, 1964, p. 473-485. Zbl0117.22404MR163679
  3. [3] T. Fulton, F. Rohrlich and L. Witten, Rev. Modern Phys., t. 34, 1962, p. 442. Zbl0107.40804MR145966
  4. [4] R. Delbourgo, A. Salam and J. Strathdee, Proc. Roy. Soc., t. A 284, 1965, p. 146 and subsequent papers. MR172636
  5. M.A.B. Bég and A. Pais, Phys. Rev. Letters, t. 14, 1965, p. 509, 577; MR180225
  6. K. Bardacki, J.M. Cornwall, P.G.O. Freund and B.W. Lee, Phys. Rev. Letters, t. 14, 1965, p. 48; J.J. Agasshi and P. Roman, Phys. Letters, t. 14, 1965, p. 68. 
  7. [5] E.P. Wigner, Ann. Math., t. 40, 1939, p. 149-204. Zbl0020.29601JFM65.1129.01
  8. [6] B. Sakita, Phys. Rev., t. 136, 1964, p. B 1756; MR180224
  9. B. Sakita and K.C. Wali, Phys. Rev. Letters, t. 14, 1965, p. 404; MR177724
  10. W. Rühl, Phys. Letters, t. 14, 1965, p. 346 ; t. 15, 1965, p. 99, 101; MR184637
  11. H. Bacry and J. Nuyts, Nuovo Cimento (to be published) ; 
  12. T. Fulton and J. Wess, Phys. Letters, t. 14, 1965, p. 57, 334; Zbl0151.44702
  13. R.P. Feynman, M. Gell-Mann and G. Zweig, Phys. Rev. Letters, t. 13, 1964, p. 678. Zbl0126.24603MR174305
  14. [7] I.M. Gelfand and M.A. Neumark, Unitäre Darstellungen der Klassischen Gruppen, Akademie Verlag, Berlin (1957). Zbl0077.03405MR85262
  15. [8] M.I. Graev, Doklady Akad. Naouk S. S. S. R., t. 98, 1954, p. 517-520. Zbl0059.02304MR66389
  16. M.I. Graev, Trudy Moskow Math. Obs., t. 7, 1958, p. 335. Zbl0087.02402
  17. [9] Harish-Chandra, Proc. Natl. Acad. Sci. U. S., t. 40, 1954, p. 1076-1077, 1078-1080. Zbl0056.25901
  18. [10] A.O. Barut and C. Fronsdal, I. C. T. P., t. 22, 1965, Trieste; 
  19. C. Fronsdal, I. C. T. P., t. 13, 1965, Trieste; 
  20. C. Fronsdal, I. C. T. P., t. 8, 1965, Trieste. 
  21. [11] L.C. Biedenharn, J. Math. Phys., t. 4, 1963, p. 436; Zbl0132.44301
  22. G.E. Baird and L.C. Biedenharn, J. Math. Phys., t. 4, 1963, p. 1449; Zbl0132.44302MR156922
  23. G.E. Baird and L.C. Biedenharn, J. Math. Phys., t. 5, 1964, p. 1723 ; Zbl0132.44302MR170978
  24. G.E. Baird and L.C. Biedenharn, J. Math. Phys., t. 5, 1964, p. 1730. Zbl0132.44302MR170979
  25. [12] H. Casimir, Proc. Koningl. Akad. Amsterdam, t. 34, 1931, p. 844; Zbl0002.26503
  26. H. Casimir and B.L. Van Der Waerden, Math. Ann., t. 111, 1935, p. 1. Zbl0011.01101JFM61.0475.02
  27. [13] M. Gell-Mann, C. T. S. L., t. 20, 1961, unpublished; 
  28. M. Gell-Mann, Phys. Rev., t. 125, 1963, p. 1067. Zbl0107.44301MR138414
  29. [14] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, 1962, N. Y. Zbl0111.18101MR145455
  30. [15] Séminaire « Sophus Lie », 1954-1955, École Normale Supérieure, Paris, p. 17-104. 
  31. [16] H. Boerner, Darstellungen von Gruppen, Springer Verlag, p. 143. Zbl0068.01603
  32. [17] R. Godement, Transactions of the American Math. Soc., t. 73, 1952, p. 496, Theorem 1. Zbl0049.20103MR52444

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