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Tensors, multivectors, wedge products, multilinear maps, exterior (Grassmann) algebras.
6
votes
1
answer
908
views
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 …
2
votes
1
answer
333
views
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 …