Symmetric

Symmetric[{s1,,sn}]

represents the symmetry of a tensor that is symmetric in the slots si.

Details

  • The slots si must be different positive numbers. The order of the list is irrelevant.
  • Symmetric[{}] and Symmetric[{s}] are both equivalent to the identity symmetry.
  • Symmetric[All] represents the symmetry of a tensor that is symmetric in all its slots.
  • If an array is symmetric in a set of slots, then all those slots have the same dimension.

Examples

open allclose all

Basic Examples  (2)

This array is symmetric:

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Declare a rank-4 array to be symmetric in three slots:

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Then any transposition involving those slots is equivalent to the original tensor:

In[2]:=
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Out[2]=

Scope  (3)

Applications  (3)

Properties & Relations  (3)

Possible Issues  (1)

See Also

SymmetricMatrixQ  Antisymmetric  TensorSymmetry  TensorTranspose  Arrays  Matrices  SymmetricGroup

Tutorials

Introduced in 2012
(9.0)