Group theory great orthogonality theorem

This equation (16) is known as the great orthogonality theorem for the irreducible representations of a group and occupies a central position in the theory of group representations. 

The most powerful theorem in group theory, for our purposes, is the great orthogonality theorem (GOT) which states that for irreps D and D, of respective dimensions na and n, ... 

An important consequence of group theory, i.e., the so-called great orthogonality theorem, is the basis of the equation for calculating the numbers w, of the vibrations belonging to a symmetry species i ... 

In his book Molecular Symmetry and Group Theory, Robert Carter introduces a tabular method for applying the great orthogonality theorem, which is illustrated... 

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