gives the list of independent components of an array of dimensions dims with the symmetry sym.
- 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.
Examplesopen allclose all
Properties & Relations (5)
Independent components under rank- antisymmetry in dimension dim are equivalent to the list of -subsets of Range[dim]:
Independent components under rank- symmetry in dimension dim are equivalent to the list of -multisets of Range[dim]:
The computation of independent components can be simulated using representatives of the orbits of components under Permute action: