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

Abstract

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

3 pages

References in corpus (2)

• Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture
• Images of multilinear polynomials of degree up to four on upper triangular matrices

Cited by in corpus (2)

• Images of multilinear polynomials on $n\times n$ upper triangular matrices over infinite fields
• Images of multilinear graded polynomials on upper triangular matrix algebras