Examples of Peirce decomposition for compact simple Kantor triple systems
Every tripotent which is a left unit of a compact simple Kantor triple system defines a decomposition of the space of the triple into a direct sum of four components, hence it defines a generalization of the Peirce decomposition for Jordan triple systems. We give examples of the Peirce decomposition for classical compact simple Kantor triple systems and for (exceptional) compact simple Kantor trip