• Allowable irreducible representations of the point groups with five-fold rotational axes

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/079/06/1365-1373

• # 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

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

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019