1
$\begingroup$

enter image description here

Why is an expression with full form of 

TensorProduct[TensorWedge[v1, v2], w1]

changed into 

TensorProduct[
  Plus[
    TensorProduct[v1, v2], 
    Times[-1, TensorTranspose[TensorProduct[v1, v2], List[2, 1]]]], 
  w1]?

How could I keep the form unchanged?

Improve this question
$\endgroup$
4
  • $\begingroup$ Cannot reproduce with MMA v10, FullForm[TensorProduct[TensorWedge[v1, v2], w1]] prints Out[]//FullForm=TensorProduct[TensorWedge[v1, v2], w1]. What is your MMA version? $\endgroup$
    – Picaud Vincent
    Commented May 13, 2019 at 18:40
  • $\begingroup$ Cannot reproduce with MMA v12 $\endgroup$
    – mikado
    Commented May 13, 2019 at 18:44
  • $\begingroup$ I should try restarting Mathematica. You may have accidently modified something. $\endgroup$
    – mikado
    Commented May 13, 2019 at 18:46
  • $\begingroup$ I used MMA v11 student edition. I thought it may because I have defined (v1|v2) \[Element] Vectors[d1]. I defined it this way because I want to use TensorReduce. But even under this definition, the FullForm[v1\[TensorWedge] v2] is still TensorWedge[v1,v2]. I want to keep this form in the expression with TensorProduct. $\endgroup$
    – Jenny Guo
    Commented May 13, 2019 at 19:01

1 Answer 1

Reset to default
2
$\begingroup$

You must have done something like:

$Assumptions = (v1|v2) ∈ Vectors[d];
TensorProduct[TensorWedge[v1, v2], w1] //FullForm

TensorProduct[Plus[TensorProduct[v1,v2],Times[-1,TensorTranspose[TensorProduct[v1,v2],List[2,1]]]],w1]

If you don't want the automatic simplification done by TensorProduct to occur, just include the assumption using Assumptions->assumptions when you use TensorReduce instead.

Improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.