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Unitary irreducible representations ofSU(2,2)

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Abstract

Using a Lie algebra method based on works byHarish-Chandra, several series of unitary, irreducible representations of the groupSU(2,2) are obtained.

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References

  1. Cunningham, E.: Proc. London Math. Soc.8, 77 (1909).

    Google Scholar 

  2. Bateman, H.: Proc. London Math. Soc.8, 223 (1910).

    Google Scholar 

  3. Page, L.: Phys. Rev.49, 254, 466, 946 (1936).

    Google Scholar 

  4. Dirac, P. A. M.: Proc. Roy. Soc. London A177, 148 (1938).

    Google Scholar 

  5. Schouten, J. A., andJ. Hantjes: Konikl. Ned. Acad. Wet. Proc.43, 1288 (1940).

    Google Scholar 

  6. Fulton, T., R. Rohrlich, andL. Witten: Revs. Modern Phys.34, 462 (1962).

    Google Scholar 

  7. Kastrup, H. A.: Nuclear Phys.50, 561 (1966); Preprint Princeton (1965).

    Google Scholar 

  8. Flato, M., D. Sternheimer, andJ. P. Vigier: C.R. Acad. Sci.260, 3869 (1965).

    Google Scholar 

  9. Bohm, D., M. Flato, F. Halbwachs, P. Hillion, andJ. P. Vigier: Nuovo cimento36, 672 (1965).

    Google Scholar 

  10. See for instance:Delbourgo, R., M. A. Rashid, A. Salam, andJ. Strathdee: Preprint ICTP/65/57 (1965).

  11. Graev, M. L.: Doklady Akad. Nauk SSSR98, 517 (1954).

    Google Scholar 

  12. See alsoEsteve, A., andP. G. Sona: Nuovo cimento32, 473 (1964).

    Google Scholar 

  13. Murai, Y.: Progr. Theoret. Phys.9, 147 (1953).

    Google Scholar 

  14. Thomas, L. H.: Ann. Math.42, 113 (1941).

    Google Scholar 

  15. Kihlberg, A.: Arkiv Fysik30, 121 (1965).

    Google Scholar 

  16. —— Arkiv Fysik27, 373 (1964).

    Google Scholar 

  17. --Chalmers University preprint.

  18. ——, andS. Ström: Arkiv Fysik31, 491 (1966).

    Google Scholar 

  19. Harish-Chandra: Trans. Am. Math. Soc.75, 185 (1953);76, 26, 234, 485 (1956).

    Google Scholar 

  20. Helgasson, H.: Differential geometry and symmetric spaces, New York: Academic Press 1962.

    Google Scholar 

Download references

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Kihlberg, A., Müller, V.F. & Halbwachs, F. Unitary irreducible representations ofSU(2,2). Commun.Math. Phys. 3, 194–217 (1966). https://doi.org/10.1007/BF01645412

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