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Results tagged with multilinear-algebra
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user 159574
Tensors, multivectors, wedge products, multilinear maps, exterior (Grassmann) algebras.
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Analytical decomposed form of a specific traceless symmetric tensor
Thanks to Zach Teitler for the comment that this tensor is associated with elementary symmetric polynomial (ESP). I searched for the decomposed form of ESP and found a paper (Power Sum Decompositions …
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1
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1
answer
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Analytical decomposed form of a specific traceless symmetric tensor
Assume an m-way tensor $\mathcal{Z}$.
$\mathcal{Z}_{p_1 p_2 ... p_m} = 0$ if any different indices match
and $\mathcal{Z}_{p_1 p_2 ... p_m} = 1$ otherwise.
It is a symmetric tensor. Now if it is 2- …
- 47
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What is the name of this tensor?
A matrix M is usually called a hollow matrix if all of its diagonal elements are zero:
$$ M_{pp} = 0, \quad \forall \: p.
$$
We can generalize this to an $n$-way tensor T, such that:
$$ T_{p_1 \cdots …
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