Improved Upper Bounds for the Rank of the Determinant Tensor via Glynn's Formula

Jeong-Hoon Ju, Hayoung Choi, Taehyeong Kim

In this paper, we improve the upper bound for the tensor rank of the $n\times n$ determinant tensor to ${\mathcal{B}}_n-2^{n-1}+n+1$ by finding a new tensor decomposition of the ten…