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Graded contractions of lie algebras and central extensions

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Czechoslovak Journal of Physics Aims and scope

Abstract

We generalize the methods of graded contractions in order to determine, using grading arguments only, the existence of central charges within the limit Lie algebras. As an illustration we show how this formalism allows one to recover the u(n)-bosons limits of the classical Lie algebras.

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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: Czech. J. Phys.50 (2000) 1297.

    Article  MATH  ADS  Google Scholar 

  3. G. Rosensteel and D.J. Rowe: Phys. Lett.47 (1981) 223.

    Article  Google Scholar 

  4. D.J. Rowe and G. Rosensteel: Phys. Rev. C25 (1982) 3236.

    Article  ADS  Google Scholar 

  5. R. Leblanc, J. Carvalho, M. Vassanji, and D.J. Rowe: Nucl. Phys. A452 (1986) 263.

    Article  ADS  MathSciNet  Google Scholar 

  6. D.J. Rowe, R. Le Blanc and K.T. Hecht: J. Math. Phys.29 (1988) 287.

    Article  MATH  ADS  MathSciNet  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

  2. Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128-A, H3C 3J7, Montréal, Québec, Canada

    Hubert de Guise

Authors
  1. Marc de Montigny
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  2. Hubert de Guise
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de Montigny, M., de Guise, H. Graded contractions of lie algebras and central extensions. Czech J Phys 51, 365–374 (2001). https://doi.org/10.1023/A:1017597724419

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  • DOI: https://doi.org/10.1023/A:1017597724419

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