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Communications in Algebra Volume 31, 2003 - Issue 12
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Original Articles

A Peirce Decomposition for Generalized Jordan Triple Systems of Second Order

Issai Kantor Department of Mathematics, Lund University, Lund, Sweden; Department of Mathematics, Lund University, Lund, S-221-00, SwedenCorrespondence[email protected]
&
Noriaki Kamiya Center for Mathematical Sciences, University of Aizu, Aizu, Japan; Center for Mathematical Sciences, University of Aizu, Aizu, 965-8580, JapanCorrespondence[email protected]
Pages 5875-5913 | Received 01 Jul 2002, Published online: 01 Feb 2007
 
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Abstract

Every tripotent e of a generalized Jordan triple system of second order uniquely defines a decomposition of the space of the triple into a direct sum of eight components. This decomposition is a generalization of the Peirce decomposition for the Jordan triple system. The relations between components are studied in the case when e is a left unit.

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