most citedSimultaneous direct sum decompositions of several multivariate polynomials

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math.RA2025★ 1 cited

Simultaneous direct sum decompositions of several multivariate polynomials

Lishan Fang, Hua-Lin Huang, Lili Liao

We consider the problem of simultaneous direct sum decomposition of a set of multivariate polynomials. To this end, we extend Harrison's center theory for a single homogeneous poly…

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…