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Graded contractions of Lie algebras and central extensions

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Czechoslovak Journal of Physics Aims and scope

Abstract

I explain how the concept ofgrading of Lie algebras can be used to investigate the appearance of central charges during a contraction. I illustrate the method with the kine-matical algebras of spacetime.

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References

  1. H. de Guise and M. de Montigny: J. Phys. A: Math. Gen.33 (2000) 4039.

    Article  MATH  ADS  Google Scholar 

  2. M. de Montigny and J. Patera: J. Phys. A: Math. Gen.21 (1991) 525.

    Article  Google Scholar 

  3. R. Gilmore:Lie Groups, Lie Algebras, and Some of Their Applications, Wiley, New York, 1974.

    MATH  Google Scholar 

  4. E. Inönü and E.P. Wigner: Proc. Nat. Acad. Sc. USA39 (1953) 510.

    Article  MATH  ADS  Google Scholar 

  5. L. Michel: inGroup Theoretical Concepts and Methods in Elementary Particle Physics (Ed. F. Gursey), Gordon & Breach, New York, 1964, p. 135.

    Google Scholar 

  6. V. Bargmann: Ann. Math.59 (1954) 1.

    Article  MathSciNet  Google Scholar 

  7. M. Hamermesh:Group Theory and its Applications to Physical Problems, Dover, New York, 1962, Chap. 12.

    Google Scholar 

  8. J.A. de Azcárraga and J.M. Izquierdo:Lie Groups, Lie Algebras, Cohomology and some Applications in Physics, Cambridge University Press, Cambridge, 1995.

    MATH  Google Scholar 

  9. H. Bacry and J.M. Lévy-Leblond: J. Math. Phys.9 (1968) 1605.

    Article  MATH  Google Scholar 

  10. M. de Montigny, J. Patera, and J. Tolar: J. Math. Phys.35 (1994) 405.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. J.M. Lévy-Leblond: inGroup Theory and Applications (Ed. E.M. Loebl), Academic, New York, 1971, Vol. 2, p. 221.

    Google Scholar 

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Authors and Affiliations

  1. Faculté Saint-Jean and Theor. Phys. Institute, University of Alberta, 8406-91 Street, T6C 4G9, Edmonton, Alberta, Canada

    Marc de Montigny

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  1. Marc de Montigny
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Montigny, M.d. Graded contractions of Lie algebras and central extensions. Czech J Phys 50, 1297–1302 (2000). https://doi.org/10.1023/A:1022825411005

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  • DOI: https://doi.org/10.1023/A:1022825411005

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