The images of multilinear polynomials on strictly upper triangular matrices

DOI10.1016/j.laa.2018.11.014zbMath1403.16028arXiv1807.09136OpenAlexW2963479915WikidataQ128953143 ScholiaQ128953143MaRDI QIDQ1713316

Pedro S. Fagundes

Publication date: 24 January 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09136

zbMATH Keywords

multilinear polynomialsstrictly upper triangular matricesLvov-Kaplansky conjecture

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over function rings in one or more variables (15A54)

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Cites Work

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• On the image of a noncommutative polynomial.
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• Polynomials of small degree evaluated on matrices
• The images of non-commutative polynomials evaluated on 2×2 matrices
• The images of multilinear polynomials evaluated on $3\times 3$ matrices
• The images of Lie polynomials evaluated on matrices
• Images of multilinear polynomials of degree up to four on upper triangular matrices
• The images of non-commutative polynomials evaluated on 2 × 2 matrices over an arbitrary field
• On the images of Jordan polynomials evaluated over symmetric matrices

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