Classification and determination of irreducible bases for induced representations for chains of subgroups of finite groups
Barbara Lulek, Tadeusz Lulek · Journal of Physics A Mathematical and General · 1984
The problem of classification and determination of standard irreducible bases for induced representations of an arbitrary finite group is discussed. A general prescription for classification and determination of these bases for an arbitrary induced representation is proposed, and an extra independent prescription for the special case of primitive representations is given. Relations between appropriate transformation coefficients are investigated and, in particular, a matrix similar to the Racah recoupling matrix from theory of multiple coupling of angular momentum is introduced.