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

      Tapas Das S K Soni

      Volume 18 Issue 4 April 1982 pp 349-383

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      https://www.ias.ac.in/article/fulltext/pram/018/04/0349-0383

    • Keywords

       

      Dynkin labels; elementary representations; annihilation operators; creation operators; symmetric subalgebra

    • 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.

    • Author Affiliations

       

      Tapas Das1 S K Soni2

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400005, India
      2. Physics Department, University of Pennsylvania, Philadelphia, PA - 19104, USA

    • Dates

       
      Published
      April 1982
      Manuscript received
      23 November 1981

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