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The Images of Completely Homogeneous Polynomials on 2 × 2 Upper Triangular Matrix Algebras
Algebras and Representation Theory ( IF 0.6 ) Pub Date : 2020-08-11 , DOI: 10.1007/s10468-020-09986-6
Jia Zhou , Yu Wang

The purpose of this paper is to initiate the study of the images of non-multilinear polynomials on upper triangular matrix algebras. We shall give a complete description of the images of completely homogenous polynomials on 2 × 2 upper triangular matrix algebras. As a consequence, we show that the image of some special completely homogenous polynomials on 2 × 2 upper triangular matrix algebras are not vector spaces.



中文翻译:

2×2上三角矩阵代数上的完全齐次多项式的图像

本文的目的是开始研究上三角矩阵代数上的非线性多项式的图像。我们将对2×2上三角矩阵代数上的完全同质多项式的图像给出完整的描述。结果,我们证明了2×2上三角矩阵代数上某些特殊的完全同质多项式的图像不是矢量空间。

更新日期:2020-08-11
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