I have been learning the book "Computer Algebra and Materials Physics" during this period of time.
In the chapter 9 titled by "Final Remarks", the author wrote the following:
In my article, I have omitted several important application of the group theory and the algebra. One of this is the treatment of magnetic or color groups. Also I omitted the treatment of Lie algebra, important in the spin system or the study of angular momentum. As for the former, a package of color groups is implemented in GAP (The Gap Group 2017).
Since there is no example, I am still confused about the magnetic space group creating in GAP. It's well known that there are 1651 types of magnetic space groups in total, as shown below:
I'm not sure if all these groups can be created and manipulated in GAP currently. Any tips or examples will be appreciated.
Regards, HZ