Pseudostandard phase system

Tensors in (5.23) and (5.25) are defined in a pseudostandard phase system (see Introduction, Eq. (5)). The symbol abc in (5.23) means that parameters a, b, c obey the so-called triangular condition with integer perimeter (any number from these three is not smaller than the difference and not larger than the sum of the other two). From the operators introduced we can compose the operator... 

Equations of the kind (14.23) or (14.25) are inconsistent in the way that tensors in their left and right sides are defined in different (pseudostandard and standard) phase systems. This is done to underline that historically tensors composed of unit tensors were defined in pseudostandard phase systems whereas in this book main tensorial quantities obey standard phase systems. 

Notice that in earlier books [2, 9, 10, 15] as a rule the pseudostandard phase system was utilized, whereas in later books [5, 11, 14, 53] the standard one was exploited. 

However, in a pseudostandard phase system a different sign convention is used... 

Racah rationalized spherical harmonics - in the pseudostandard phase system... 

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