Irreducible characters of the icosahedral group
https://doi.org/10.17586/2220-8054-2023-14-4-405-412
Abstract
To study point groups, their irreducible characters are essential. The table of irreducible characters of the icosahedral group A5 is usually obtained by using its duality to the dodecahedral group. It seems that there is no literature which gives a routine computational way to complete it. In the works of Harter and Allen, a computational method is given and the character table up to the tetrahedral group A4 using the group algebra table and linear algebra. In this paper, we employ their method with the aid of computer programming to complete the table. The method is applicable to any other more complicated groups.
About the Authors
S. Kanemitsu
Sanmenxia SUDA New Energy Research Institute
China
China
S. Kanemitsu – Sanmenxia SUDA New Energy Research Institute, No. 1, Taiyang Road, Sanmenxia Economic Development Zone
Sanmenxia, Henan, 472000, P. R. China
J. Mehta
Department of Mathematics, Sardar Patel University
India
India
Jay Mehta – Department of Mathematics, Sardar Patel University
Vallabh Vidyanagar, Gujarat 388 120
Y. Sun
Graduate School of Engrg., Kyushu Inst. Tech.
Japan
Japan
Y. Sun – Graduate School of Engrg., Kyushu Inst. Tech.
1-1Sensuicho Tobata, Kitakyushu 804-8555
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Review
For citations:
Kanemitsu S., Mehta J., Sun Y. Irreducible characters of the icosahedral group. Nanosystems: Physics, Chemistry, Mathematics. 2023;14(4):405-412. https://doi.org/10.17586/2220-8054-2023-14-4-405-412
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