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A Rank 18 Waring Decomposition of sM 〈3〉 with 432 Symmetries

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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.… Click to show full abstract

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. Author present an explicit rank 18 Waring decomposition of and describe its symmetry group.

Keywords: 432 symmetries; rank waring; waring decomposition; decomposition 432; matrix multiplication

Journal Title: Experimental Mathematics
Year Published: 2021

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