Lu'is Felipe Gonccalves Fonseca

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20142020

most citedDegree-inverting involutions on matrix algebras

6 citations · 11 across the 8 of their papers we have counts for

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Showing 2017 · math.RAShow all

3 papers · 2 filters

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★ 5 cited

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…

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

$Z_{2}$ -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