On the images of Jordan polynomials evaluated over symmetric matrices
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Publication:5962498
DOI10.1016/j.laa.2015.11.015zbMath1395.17075OpenAlexW2217564488MaRDI QIDQ5962498
Publication date: 12 February 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2015.11.015
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Cites Work
- Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three
- On the image of a noncommutative polynomial.
- On the images of Lie polynomials evaluated on Lie algebras
- On matrices of trace zero
- Associators in simple algebras
- Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices
- On multilinear polynomials in four variables evaluated on matrices
- Sets of complex numbers associated with a matrix
- Polynomials of small degree evaluated on matrices
- The images of non-commutative polynomials evaluated on 2×2 matrices
- The images of non-commutative polynomials evaluated on 2 × 2 matrices over an arbitrary field