| Title | Examples of Peirce decomposition for compact simple Kantor triple systems |
| Authors | Noriaki Kamiya, Daniel Mondoc |
| Publication | Algebras, Groups and Geometries |
| Year | 2007 |
| Volume | 24 |
| Issue | 3 |
| Pages | 325 - 347 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Hadronic Press, Inc. |
| Abstract English | Every tripotent which is a left unit of a compact simple Kantor<br> 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. |
| Keywords | triple systems, structurable algebras, Peirce decomposition, |
| ISBN/ISSN/Other | ISSN: 0741-9937 |
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