A counterexample to Comon's conjecture
Combinatorics
2017-08-29 v2
Abstract
We present an example of a symmetric tensor of size which can be written a sum of simple tensors with complex entries but not as a sum of symmetric simple tensors.
Cite
@article{arxiv.1705.08740,
title = {A counterexample to Comon's conjecture},
author = {Yaroslav Shitov},
journal= {arXiv preprint arXiv:1705.08740},
year = {2017}
}
Comments
13 pages; the same example as in ver. 1; section 4 corrected; section 2 split into two; more details added