A rank 18 Waring decomposition of sM_〈 3〉 with 432 symmetries

11/15/2017

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by   Austin Conner, et al.

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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_〈 3〉 and describe its symmetry group.