Abstract
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 triple systems defined on structurable algebras with two commuting involutions.
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 triple systems defined on structurable algebras with two commuting involutions.
Original language | English |
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Pages (from-to) | 325-347 |
Journal | Algebras, Groups and Geometries |
Volume | 24 |
Issue number | 3 |
Publication status | Published - 2007 |
Externally published | Yes |
Subject classification (UKÄ)
- Mathematics
Free keywords
- triple systems
- structurable algebras
- Peirce decomposition