Idempotents and Peirce Gradings of Jordan Algebras
In this paper we find a necessary and sufficient condition for a
Peirce grading of a Jordan algebra J to come from a Peirce decomposition
with respect to an idempotent of a Jordan algebra containing J as a
subalgebra. We also show that the above condition holds automatically when
J is nondegenerate.
(To appear in J. Algebra)
J. A. Anquela < anque@orion.ciencias.uniovi.es >
T. Cortés < cortes@orion.ciencias.uniovi.es >