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    • Keywords


      Allowable irreducible representations of little groups; solvability property; composition series; induced and engendered representations.

    • Abstract


      Allowable irreducible representations of the point groups with five-fold rotations – that represent the symmetry of the quasicrystals in two and three dimensions – are derived by employing the little group technique in conjunction with the solvability property. The point groups $D_{5h}(\bar{10}m2)$ and $I_{h}(\dfrac{2}{m} \bar{3} \bar{5})$ are taken to illustrate the method.

    • Author Affiliations


      K Ram Mohana Rao1 B Simhachalam2 P Hemagiri Rao3

      1. MCA Department, Kaushik College of Engineering, Visakhapatnam 531 163, India
      2. Department of Mathematics, GITAM University, Visakhapatnam 530 045, India
      3. MCA Department, Vasavi College of Engineering, Hyderabad 500 031, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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