All linear representations of the Poincaré group up to dimension 8

Stephen M. Paneitz

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 40, Issue: 1, page 35-57
  • ISSN: 0246-0211

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Paneitz, Stephen M.. "All linear representations of the Poincaré group up to dimension 8." Annales de l'I.H.P. Physique théorique 40.1 (1984): 35-57. <http://eudml.org/doc/76223>.

@article{Paneitz1984,
author = {Paneitz, Stephen M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {universal covering of Poincaré group},
language = {eng},
number = {1},
pages = {35-57},
publisher = {Gauthier-Villars},
title = {All linear representations of the Poincaré group up to dimension 8},
url = {http://eudml.org/doc/76223},
volume = {40},
year = {1984},
}

TY - JOUR
AU - Paneitz, Stephen M.
TI - All linear representations of the Poincaré group up to dimension 8
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 40
IS - 1
SP - 35
EP - 57
LA - eng
KW - universal covering of Poincaré group
UR - http://eudml.org/doc/76223
ER -

References

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  1. [1] A.O. Barut and R. Raczka, Theory of Group Representations and Applications, Polish Scientific Publishers, Warsaw, 1977. Zbl0471.22021MR495836
  2. [2] W.A. Hepner, The Inhomogeneous Lorentz Group and the Conformal Group, Nuovo Cimento, t. 26, No. 2, 1962, p. 352-368. Zbl0125.45603MR143569
  3. [3] L. Hlavaty and J. Niederle, Relativistic Equations and Indecomposable Representations of the Lorentz Group SL(2, C), Czech. J. Phys. B, t. 29, No. 3, 1979, p. 283-288. MR535137
  4. [4] N. Jacobson, Lie Algebras, Interscience Publishers, New York, 1962. Zbl0121.27504MR143793
  5. [5] G. Mack and Abdus Salam, Finite-component Field Representations of the Conformal Group, Ann. Phys., t. 53, 1969, p. 174-202. MR245267
  6. [6] S.M. Paneitz and I.E. Segal, Analysis in Space-time Bundles. I. General Considerations and the Scalar Bundle, J. Func. Anal., t. 47, No. I, 1982, p. 78-142; II. The Spinor and Form Bundles, J. Func. Anal., t. 49, 1982, p. 335-414. Zbl0535.58019MR663834
  7. [7] I.E. Segal, Covariant Chronogeometry and Extreme Distances III: Macro-Micro Relations, Proc. Dirac conf., Loyola University, 1981, Int. J. Theor. Phys., t. 21, 1982, p. 851-869. MR666769
  8. [8] I.E. Segal, Chronometric cosmology and fundamental fermions, Proc. Natl. Acad. Sci., U. S. A., t. 79, 1982, p. 7961-7962. MR687500
  9. [9] I.E. Segal, in Les Problèmes Mathématiques de la Théorie Quantique des Champs, Proc. Lille conf., 1957, C. N. R. S., Paris. 
  10. [10] I.E. Segal, Interacting Quantum Fields and the Chronometric Principle, Proc. Nat. Acad. Sci., U. S. A., t. 73, October 1976, p. 3355-3359 et s. MR416367

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