Erratum: Three-quark exchange operators, crossing matrices and Fierz transformations in SU(2) and SU(3) [J. Math. Phys. 42, 991 (2001)]

We give explicit expressions for the three-quark exchange operators, crossing matrices and Fierz transforms for the SU(2) and SU(3) groups. We identify the invariant terms in these operators and express them in terms of Casimir operators.