Images of multilinear polynomials of degree up to four on upper triangular matrices

Abstract

We describe the images of multilinear polynomials of degree up to four on the upper triangular matrix algebra.

References in corpus (2)

• Polynomials of small degree evaluated on matrices
• On Multilinear Polynomials In Four Variables Evaluated On Matrices

Cited by in corpus (6)

• Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture
• Images of multilinear polynomials on $n\times n$ upper triangular matrices over infinite fields
• The image of polynomials and Waring type problems on upper triangular matrix algebras
• The image of multilinear polynomials evaluated on $3\times 3$ upper triangular matrices
• The Mesyan Conjecture: a restatement and a correction
• Images of multilinear graded polynomials on upper triangular matrix algebras