Identidades e polinômios centrais com involução para a álgebra das matrizes triangulares superiores 2x2

Abstract

Let F be a field of characteristic diferent from 2. Denote by UT2(F) the 2x2 upper triangular matrix F-algebra. If * is a involution of first kind of UT2(F), denote by Id(UT2(F); * and C(UT2(F); *) the set of its *-polynomial identities and *-central polynomials, respectively. In this work, we describe: a) Id(UT2(F); ) when F is finite. b) C(UT2(F); ) when F is any fi eld.