I'm working with xAct package. I've defined the tensor component values and my issue is that I want an expression involving Levi Civita symbols and tensor components, I don't know how to deal with it. The expression is something like $\epsilon_{abc}$T$_{ade}$ and other two index tensor components. Does anybody know how to deal with it? I try multipling the tensor T to the Levi Civita, but my output writes 'T' instead of the components of the tensor. Can anybody help me please? Thank you
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$\begingroup$ This is a duplicate of Contracting with Levi-Civita (totally antisymmetric) tensor. Most likely this functionality is poorly known even though it is one of the most important symbolic news in Mathematica 9. See also closely related Using the epsilon tensor in Mathematica $\endgroup$– ArtesCommented Jul 6, 2014 at 11:22
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$\begingroup$ @Artes Well, he's asking about the xAct package, not the built-in tensor functionality. So it's not exactly a duplicate. $\endgroup$– Teake NutmaCommented Jul 6, 2014 at 18:14
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$\begingroup$ my principal sissue is that I've defined the tensor component values, and when I use ComponentValue command I obtain the correct output, but when I calculate, for example, a tensor product between my tensor and the levi civita symbol my output writes T.$\epsilon$ instead of make the product using the components. I've also tried using contract tensor, but the output is the same $\endgroup$– user25578Commented Jul 6, 2014 at 19:34
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1$\begingroup$ @Artes This question should not have been closed: the question is regarding a third-party package, while the answer in the linked question is about built-in functionality. $\endgroup$– QuantumDotCommented Sep 25, 2016 at 20:31
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1$\begingroup$ @TeakeNutma This question is now open. Would you kindly post an answer when you get a chance? $\endgroup$– QuantumDotCommented Sep 26, 2016 at 15:17
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