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Symmetrize[tensor,sym]

returns the symmetrization of tensor under the symmetry sym.

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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:

Wolfram Research (2012), Symmetrize, Wolfram Language function, https://reference.wolfram.com/language/ref/Symmetrize.html.

Text

Wolfram Research (2012), Symmetrize, Wolfram Language function, https://reference.wolfram.com/language/ref/Symmetrize.html.

CMS

Wolfram Language. 2012. "Symmetrize." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Symmetrize.html.

APA

Wolfram Language. (2012). Symmetrize. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Symmetrize.html

BibTeX

@misc{reference.wolfram_2025_symmetrize, author="Wolfram Research", title="{Symmetrize}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/Symmetrize.html}", note=[Accessed: 07-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_symmetrize, organization={Wolfram Research}, title={Symmetrize}, year={2012}, url={https://reference.wolfram.com/language/ref/Symmetrize.html}, note=[Accessed: 07-August-2025]}