Author

Lucas Reis

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

Polynomial identities, central polynomials and cocharacters of $M_2(F)$ with $G$-graded involution

Let $F$ be a field of characteristic zero, $G$ be a finite abelian group and $M_2(F)$ be the algebra of $2\times 2$ matrices over $F$. In this paper, we consider all $G$-graded involutions on $M_2(F)$ and determine the generators of the $T_{(G,*)}$-ideal of identities and of the $T_{(G,*)}$-space of central polynomials...

R. B. dos Santos, Lucas Reis · 0 citations

Preprint Sep 2026

Polynomial identities, central polynomials and cocharacters of $M_2(F)$ with transpose superinvolution

Let $F$ be a field of characteristic zero and consider $M_2(F),$ the algebra of $2\times 2$ matrices over $F,$ with canonical $\mathbb{Z}_2$-grading and endowed with transpose superinvolution. In this paper, we present the generators of the $T_2^*$-ideal of $*$-identities and of the $T_2^*$-subspace of central $*$-poly...

R. B. dos Santos, Lucas Reis · 1 citation