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Mathematical Products

  1. Sep 23, 2014 #1
    1my problemo.png 2 exterior.png
    we all know that a tensor has a symmetric part and anti-symmetric part and the anti-symmetric product (of the anti-symmetric part) called [wedge product] in pic.(2). then what is the name of the product the represents the symmetric part of a tensor in pic.(1) ?
     

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  3. Sep 23, 2014 #2

    WWGD

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    If I understood your question correctly, the general product in the exterior algebra of the vector space is the tensor product, which then gives you a graded algebra , where the product of an n-tensor and a k-tensor is an (n+k)-tensor . As you said, the restriction to the alternating tensors uses the wedge product.
     
  4. Sep 24, 2014 #3
    ftp://ftp.cis.upenn.edu/pub/cis610/public_html/diffgeom7.
    in this pdf it.s written the three product ( tensor and wedge and the other product ) . well i don't know the name of the third product.
     
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