Simple graded commutative algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the notion of $Γ$-graded commutative algebra for an arbitrary abelian group $Γ$. The main examples are the Clifford algebras already treated by Albuquerque and Majid. We prove that the Clifford algebras are the only simple finite-dimensional associative graded commutative algebras over $\mathbb{R}$ or $\mathbb{C}$. Our approach also leads to non-associative graded commutative algebras extending the Clifford algebras.
References added

Keywords

Commutative Algebra, Rings and Algebras

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/229489

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.2825
 http://arxiv.org/abs/0904.2825

Collections

arXiv