I just want to make sure this isn't a "property" of TensorFunctions, but is there no way to define a Rank-2 tensor that is Symmetric:
TensorFunction[{F,"S"},a,b]
will give me something "symmetric". But then wouldn't
TensorFunction[{F,"S"},a,b].TensorFunction[{F,"A"},a,b]
give zero? Or with the DiracSigma, as its antisymmetric.
Is there a way to simplify products of TensorFunctions that take into account their symmetries?
-K.J. Healey
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