Symmetric

Symmetric[{s1,,sn}]
represents the symmetry of a tensor that is symmetric in the slots .

DetailsDetails

  • The slots 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.

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

This array is symmetric:

In[1]:=
Click for copyable input
Out[1]=

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

In[1]:=
Click for copyable input

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

In[2]:=
Click for copyable input
Out[2]=
Introduced in 2012
(9.0)