Resumen de Graded algebra automorphisms

María Montserrat Vela del Olmo

• We consider the Clifford algebra $C(q)$ of a regular quadratic space $(V,q)$ over a field $K$ with its structure of $\mathbb{Z} / 2\mathbb{Z}$-graded $K$-algebra. We give a characterization of the group of graded automorphisms of $C(q)$.\newline In the last section we introduce the $\mathbb{Z} /n\mathbb{Z}$-graded algebras and we study as well as the group of graded automorphisms for some of them.