Simple graded commutative algebras

Simple item page
dc.creatorMorier-Genoud, Sophie
dc.creatorOvsienko, Valentin
dc.date2009-04-19
dc.date2009-05-07
dc.date.accessioned2026-07-07T13:12:06Z
dc.date.available2026-07-07T13:12:06Z
dc.descriptionWe 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.
dc.descriptionReferences added
dc.identifierhttps://arxiv.org/abs/0904.2825
dc.identifierhttp://arxiv.org/abs/0904.2825
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229489
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.titleSimple graded commutative algebras
dc.typetext

Files

Collections

arXiv