- Horário: 13hs
- Dia: 24/03
- Local: sala  S306-1 Bloco A

Title: Polynomial identities and central polynomials for n x n matrices
Abstract:  Let $A$ be an algebra over a field $F$. A polynomial in noncommuting variables $f(x_1, \ldots, x_n)$ is a central polynomial
of A$ if $f(a_1, \ldots, a_n)$ lies in the center of $A$, for all $a_1, \ldots, a_n \in A$. In case it takes only the value $0$, $f$ is called a polynomial identity of $A$, whereas if it takes some non-zero value is called a proper central polynomials.
The purpose of this talk is to discuss both polynomial identities and proper central polynomials of finite dimensional algebras. I will also be focusing on $M_n(F)$ the algebra of $n \times n$ matrices over $F$.