Symmetrize

Symmetrize[tensor,sym]

returns the symmetrization of tensor under the symmetry sym.

Details

  • Symmetrize[tensor] assumes symmetrization by the full Symmetric[{1,,r}], where r is the rank of tensor.

Examples

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Basic Examples  (2)

Antisymmetrize an array:

In normal form:

Symmetrize a symbolic tensor:

Scope  (3)

Symmetrize an array by a given symmetry:

Symmetrize a symbolic tensor by a general symmetry specification:

Without a second argument, Symmetric[All] is assumed:

With symbolic tensors of a given rank:

Introduced in 2012
 (9.0)