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BUILT-IN MATHEMATICA SYMBOL
TensorSymmetry
TensorSymmetry[tensor]
gives the symmetry of tensor under permutations of its slots.
TensorSymmetry[tensor, slots]
gives the symmetry under permutation of the specified list of slots.
Details and Options
- TensorSymmetry accepts any type of tensor, either symbolic or explicit, including any type of array.
- A general symmetry is specified by a generating set of pairs
, where perm is a permutation of the slots of the tensor, and 
is a root of unity. Each pair represents a symmetry of the tensor of the form TensorTranspose[tensor, perm]==tensor. - Some symmetry specifications have names:
-
Symmetric[{s1,...,sn}] full symmetry in the slots 
Antisymmetric[{s1,...,sn}] antisymmetry in the slots 
ZeroSymmetric[{s1,...,sn}] symmetry of a zero tensor
New in 9
