Lu'is Felipe Gonccalves Fonseca

activity

20162020

collaborators

6 papers

math.RA2020

A note on the $Z_{2} \times Z_{2}$ -graded identities of $E \otimes E$ over a finite field

Luís Felipe Gonçalves Fonseca

Let $F$ be a finite field of $c ha r F = p$ and size $∣ F ∣ = q$ . Let $E$ be the unitary infinity dimensional Grassmann algebra. In this short note, we describe the $\mathbb{Z}_2 \time…

math.RA2020

$Z_{3}$ -graded identities of the pair $(M_{3} (K), g l_{3} (K))$

Luís Felipe Gonçalves Fonseca

Let $M_{n} (K)$ be the algebra of $n \times n$ matrix over an infinite integral domain $K$ . Let $g l_{n} (K)$ be the Lie algebra of $n \times n$ matrix with the usual Lie product over $K$ …

math.RA2017

$Z_{2}$ -graded identities of the Grassmann algebra over a finite field (update version)

Luís Felipe Gonçalves Fonseca

Let $F$ be a finite field with the characteristic $p > 2$ and let $G$ be the unitary Grassmann algebra generated by an infinite dimensional vector space $V$ over $F$ . In this paper…

math.RA2017

Graded Polynomial Identities for Matrices with the Transpose Involution over an Infinite Field

Luís Felipe Gonçalves Fonseca, Thiago Castilho de Mello

Let $F$ be an infinite field, and let $M_{n} (F)$ be the algebra of $n \times n$ matrices over $F$ . Suppose that this algebra is equipped with an elementary grading whose neutral com…

math.RA2017

On $Z_{2}$ -graded polynomial identities of $s l_{2} (F)$ over a finite field

Luís Felipe Gonçalves Fonseca

Let $F$ be a finite field of $c ha r F > 3$ and $s l_{2} (F)$ be the Lie algebra of traceless $2 \times 2$ matrices over $F$ . In this paper, we find a basis for the $Z_{2}$ -gra…

math.RA2016

Degree-inverting involutions on matrix algebras

Luís Felipe Gonçalves Fonseca, Thiago Castilho de Mello

Let $F$ be an algebraically closed field of characteristic zero, and $G$ be a finite abelian group. If $A = \oplus_{g \in G} A_{g}$ is a $G$ -graded algebra, we study degree-inverting in…

A note on the Z2​×Z2​-graded identities of E⊗E over a finite field

Z3​-graded identities of the pair (M3​(K),gl3​(K))

Z2​-graded identities of the Grassmann algebra over a finite field (update version)

Graded Polynomial Identities for Matrices with the Transpose Involution over an Infinite Field

On Z2​-graded polynomial identities of sl2​(F) over a finite field

Degree-inverting involutions on matrix algebras

A note on the $Z_{2} \times Z_{2}$ -graded identities of $E \otimes E$ over a finite field

$Z_{3}$ -graded identities of the pair $(M_{3} (K), g l_{3} (K))$

$Z_{2}$ -graded identities of the Grassmann algebra over a finite field (update version)

On $Z_{2}$ -graded polynomial identities of $s l_{2} (F)$ over a finite field