Article

Pramana

, Volume 18, Issue 4, pp 349-383

First online:

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

  • Tapas DasAffiliated withTata Institute of Fundamental Research
  • , S K SoniAffiliated withPhysics Department, University of Pennsylvania

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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 labels elementary representations annihilation operators creation operators symmetric subalgebra