SymmetrizedDependentComponents
SymmetrizedDependentComponents[comp, sym] gives the list of components that are equivalent to the component comp by the symmetry sym.
Examples
Find equivalent components:
SymmetrizedDependentComponents[{1, 2}, Symmetric[{1, 2}]]With antisymmetric tensors:
SymmetrizedDependentComponents[{1, 2}, Antisymmetric[{1, 2}]]Please visit the official Wolfram Language Reference for more details.