Character reducible representations resolved

Thus the reducible representation is resolved into three /),. one /t2, two B and three B2 species. It can easily be confirmed that the characters for this combination sum to give the characters of I-,. 

For the Csv group, the characters for some direct products of bases for irreducible representations are shown in Table 13-25. The direct product has as characters the product of characters of E times itself. These characters (4,0,1) do not agree with any of the irreducible representation character sets, and so E E is reducible. We can tell, in fact, that E E is four-dimensional from the leading character. To resolve EiS>E,we employ the formula (13-7), which gives E E = Ai A2 E, and fits the observation that E E is four-dimensional. The other direct products listed... 

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