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A rank 18 Waring decomposition of $sM_{\langle 3\rangle}$ with 432 symmetries (1711.05796v1)
Published 15 Nov 2017 in math.RT and cs.CC
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.