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Tensors, multivectors, wedge products, multilinear maps, exterior (Grassmann) algebras.
2
votes
1
answer
333
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Is the Waring rank homogeneous polynomials sub-multiplicative?
For a homogeneous degree $d$ polynomial $P$, the symmetric or Waring rank $W(P)$ is the minimum $r$ such that $P = \sum_{j=1}^r l_j^d$, where $l_j$s are linear forms. Now, is the Waring rank sub-multi …
6
votes
1
answer
908
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Waring rank vs tensor rank of symmetric tensors?
Suppose we work in an algebraically closed field. Then, do the Waring rank (symmetric tensor rank) and tensor rank of a symmetric tensor coincide in general? Recall that tensor rank is rank with respe …