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math.RA2022
Harrison center and products of sums of powers
Hua-Lin Huang, Lili Liao, Huajun Lu +1
This paper is mainly concerned with identities like \[ (x_1^d + x_2^d + \cdots + x_r^d) (y_1^d + y_2^d + \cdots y_n^d) = z_1^d + z_2^d + \cdots + z_n^d \] where $x=(x_1, x_2…
math.RA2021
Centers of Multilinear Forms and Applications
Hua-Lin Huang, Huajun Lu, Yu Ye +1
In this paper we study the center algebras of multilinear forms. It is shown that the center of a nondegenerate multilinear form is a finite dimensional commutative algebra and can…