Power Sum Decompositions of Elementary Symmetric Polynomials
Algebraic Geometry
2015-08-24 v1 Combinatorics
Abstract
We bound the tensor ranks of elementary symmetric polynomials, and we give explicit decompositions into powers of linear forms. The bound is attained when the degree is odd.
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Cite
@article{arxiv.1508.05235,
title = {Power Sum Decompositions of Elementary Symmetric Polynomials},
author = {Hwangrae Lee},
journal= {arXiv preprint arXiv:1508.05235},
year = {2015}
}
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8 pages