Hi GAP team, The following two group theory representations are the core and foundation of the application of group theory in the fields of crystallography, solid state physics and quantum mechanics:
1. The small representations of little groups, as described in the BC book section 4.4 "The small representations of little groups". 2. The corepresentations of magnetic space groups, as described in the BC book chapter 7 "The magnetic groups and their corepresentations". Nevertheless, the corresponding theories are quite complicated, and the resulting data is very diverse. Without the help of the computer, it is difficult to remember and infer the corresponding representations, and it is impossible to correctly analyze the relationship between them. So, I wonder if GAP can be used to build these databases systematically. For your reference, see here [1] for the BC book mentioned here. [1] https://github.com/hongyi-zhao/ebooks/blob/master/The-Mathematical-Theory-of-Symmetry-in-Solids.pdf Yours sincerely, -- Assoc. Prof. Hongsheng Zhao <hongyi.z...@gmail.com> Theory and Simulation of Materials Hebei Vocational University of Technology and Engineering No. 473, Quannan West Street, Xindu District, Xingtai, Hebei province _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
