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R. B. dos Santos

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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

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