BUILT-IN MATHEMATICA SYMBOL

SymmetrizedIndependentComponents

SymmetrizedIndependentComponents[dims, sym]
gives the list of independent components of an array of dimensions dims with the symmetry sym.

Details Details

The dimensions dims must be given as a list of positive integers.
The symmetry sym must be compatible with the list of dimensions dims.
SymmetrizedIndependentComponents generalizes the combinatorial construction of subsets and multisets, the former corresponding to antisymmetry and the latter to symmetry.

Independent components of a rank-3 antisymmetric array in dimension 4:

Out[1]=

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