The image of polynomials on 2 × 2 upper triangular matrix algebras

The image of polynomials on 2 × 2 upper triangular matrix algebras

The goal of the paper is to give a complete description of the image of polynomials with zero constant term on 2×2 upper triangular matrix algebras over an algebraically closed field.

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Bibliographische Detailangaben
Veröffentlicht in:Linear algebra and its applications 2021-02, Vol.610, p.560-570
Hauptverfasser: Wang, Yu, Zhou, Jia, Luo, Yingyu
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Linear algebra
Lvov-Kaplansky Conjecture
Polynomial
Polynomials
Upper triangular matrix algebra
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Beschreibung
Zusammenfassung:The goal of the paper is to give a complete description of the image of polynomials with zero constant term on 2×2 upper triangular matrix algebras over an algebraically closed field.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2020.10.009