SymmetrizedIndependentComponents

SymmetrizedIndependentComponents[dims,sym]

gives the list of independent components of an array of dimensions dims with the symmetry sym.

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.

Examples

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Basic Examples  (1)

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

In[1]:=
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Out[1]=

Scope  (4)

Applications  (2)

Properties & Relations  (5)

See Also

SymmetrizedDependentComponents  SymmetrizedArray  TensorSymmetry  Symmetric  Antisymmetric

Tutorials

Introduced in 2012
(9.0)