Geodesic
The image of multilinear polynomials evaluated on $3\times 3$ upper triangular matrices
Communications in Mathematics, Tome 29 (2021) no. 2, pp. 183-186.

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We describe the images of multilinear polynomials of arbitrary degree evaluated on the $3\times 3$ upper triangular matrix algebra over an infinite field.
Classification : 16R10, 16S50
Keywords: multilinear polynomials; upper triangular matrices; Lvov-Kaplansky's conjecture 
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     title = {The image of multilinear polynomials evaluated on $3\times 3$ upper triangular matrices},
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Mello, Thiago Castilho de. The image of multilinear polynomials evaluated on $3\times 3$ upper triangular matrices. Communications in Mathematics, Tome 29 (2021) no. 2, pp. 183-186. http://geodesic.mathdoc.fr/item/COMIM_2021__29_2_a2/