T. C. de Mello

activity

20122026

most citedImages of multilinear polynomials on

n \times n

upper triangular matrices over infinite fields

22 citations · 92 across the 19 of their papers we have counts for

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Showing 2021 · math.RAShow all

3 papers · 2 filters

math.RA2021★ 6 cited

The Mesyan Conjecture: a restatement and a correction

Pedro Souza Fagundes, Thiago Castilho de Mello, Pedro Henrique da Silva dos Santos

The well-known Lvov-Kaplansky conjecture states that the image of a multilinear polynomial $f$ evaluated on $n \times n$ matrices is a vector space. A weaker version of this conject…

math.RA2021★ 5 cited

Homogeneous involutions on upper triangular matrices

Thiago Castilho de Mello

Let $K$ be a field of characteristic different from 2 and let $G$ be a group. If the algebra $U T_{n}$ of $n \times n$ upper triangular matrices over $K$ is endowed with a $G$ -grading…

math.RA2021★ 22 cited

Images of multilinear polynomials on $n \times n$ upper triangular matrices over infinite fields

Ivan Gonzales Gargate, Thiago Castilho de Mello

In this paper we prove that the image of multilinear polynomials evaluated on the algebra $U T_{n} (K)$ of $n \times n$ upper triangular matrices over an infinite field $K$ equals $J^{r}$ …

The Mesyan Conjecture: a restatement and a correction

Homogeneous involutions on upper triangular matrices

Images of multilinear polynomials on n×n upper triangular matrices over infinite fields

Images of multilinear polynomials on $n \times n$ upper triangular matrices over infinite fields