Note on Zak's Method for Constructing Representations of Space Groups

Abstract
Zak [J. Math. Phys. 1, 165 (1960)] has given a method for constructing the irreducible representations of space groups which involves inducing the representations of the full group from those of an invariant subgroup. When a representation of the subgroup is self‐conjugate, Zak's prescription for the induction is subject to a restriction which makes it inapplicable in some practical applications of the method. This paper presents a general prescription for carrying out the induction from self‐conjugate representations.

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