Graded algebra automorphisms

Autores: María Montserrat Vela del Olmo
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 49, Fasc. 2-3, 1998, págs. 549-564
Idioma: inglés
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Resumen
- 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.