The image of multilinear polynomials evaluated on $3\times 3$ upper triangular matrices

preprint2019arXivOpen access

We describe the images of multilinear polynomials of arbitrary degree evaluated on the $3\times 3$ upper triangular matrix algebra over an infinite field.

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The image of multilinear polynomials evaluated on $3\times 3$ upper triangular matrices

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The image of multilinear polynomials evaluated on $3\times 3$ upper triangular matrices