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arXiv · 1711.05796

A rank 18 Waring decomposition of $sM_{\langle 3\rangle}$ with 432 symmetries

Austin Conner
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Abstract

The recent discovery that the exponent of matrix multiplication is determined by the rank of the symmetrized matrix multiplication tensor has invigorated interest in better understanding symmetrized matrix multiplication. I present an explicit rank 18 Waring decomposition of $sM_{\langle 3\rangle}$ and describe its symmetry group.

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Austin Conner. 2017-11-15. A rank 18 Waring decomposition of $sM_{\langle 3\rangle}$ with 432 symmetries. https://arxiv.org/abs/1711.05796

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