Pramana

, Volume 18, Issue 4, pp 349–383

Weights of elementary representations in SU(5)-SO(10)-E6 chain

Authors

  • Tapas Das
    • Tata Institute of Fundamental Research
  • S K Soni
    • Physics DepartmentUniversity of Pennsylvania
Article

DOI: 10.1007/BF02879396

Cite this article as:
Das, T. & Soni, S.K. Pramana - J. Phys. (1982) 18: 349. doi:10.1007/BF02879396
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Abstract

For Dynkin labels of weights in 5 and 10 of SU(5), 10 and 16 of SO(10) and 27 ofE, we find it instructive to (a) explōit the Cartan decom position into a nonsemi simple symmetric subalgebra and coset space, (b) introduce a set of annihilation and creation operators, that may act on an invariant 10>, to represent suitably the shift-action and weight-vectors.

Keywords

Dynkin labelselementary representationsannihilation operatorscreation operatorssymmetric subalgebra
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© Indian Academy of Sciences 1982