KRONECKER SYMBOLS
Generalized Kronecker symbol of rank 2r is absolute tensor, n2r component of which
are determined like the following:
= +1, if all upper indices i1, i2,…, in, are different, and the system of lower indices k1, k2,…, kn, is deduced by even number of transpositions out of the system of upper indices;
= -1, if all upper indices i1, i2,…, in, are different, and the system of lower indices k1, k2,…, kn, is deduced by odd number of transpositions out of the system of upper indices;
= 0 for all other combinations of upper and lower indices.
The Kronecker symbol of rank 2 is most often used. It is determined by the following conditions: