15 citations · 28 across the 17 of their papers we have counts for
5 papers · 1 filter
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…
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…
On Centers and Direct Sum Decompositions of Higher Degree Forms
Hua-Lin Huang, Huajun Lu, Yu Ye +1
Higher degree forms are homogeneous polynomials of degree or equivalently symmetric -linear spaces. This paper is mainly concerned about the algebraic structure of the…
Diagonalizable Higher Degree Forms and Symmetric Tensors
Hua-Lin Huang, Huajun Lu, Yu Ye +1
We provide simple criteria and algorithms for expressing homogeneous polynomials as sums of powers of independent linear forms, or equivalently, for decomposing symmetric tensors i…
A Generalization of the Doubling Construction for Sums of Squares Identities
Chi Zhang, Hua-Lin Huang
The doubling construction is a fast and important way to generate new solutions to the Hurwitz problem on sums of squares identities from any known ones. In this short note, we gen…