On Jordan quadruple systems

Abstract: We present the recent results on Jordan quadruple systems. We show the Peirce decomposition for a Jordan quadruple system with respect to a quadripotent. We extend the notions of the orthogonality, primitivity, and minimality of tripotents in a Jordan triple system to that of quadripotents in a Jordan quadruple system. We show the relation between minimal and primitive quadripotents in a Jordan quadruple system. We also discuss the results on complemented subsystems of Jordan quadruple systems.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar