Clebsch–Gordan coefficients of magnetic space groups

Publisher Website
Google Scholar
Abstract
We have obtained sets of homogeneous linear equations in the Clebsch–Gordan coefficients for magnetic space groups in terms of the matrix elements of the irreducible representations of the little cogroup of the linear subgroup of index 2. Depending on the types of the co‐representations in the triple product, 18 cases arise. These 18 cases can be divided into six categories. We have given explicit forms for one case in each category and have indicated how the other cases are to be treated. The formalism has been developed for projective co‐representations so that both the vector and the spinor case can be treated.