Title of article
The Peirce decomposition for generalized Jordan triple systems of finite order
Author/Authors
Issai Kantor، نويسنده , , Louis Rowen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
29
From page
829
To page
857
Abstract
Every tripotent e of a generalized Jordan triple system of order l uniquely defines a decomposition into the direct sum of l2+2l components. This decomposition generalizes the known Peirce decomposition of a Jordan triple system and of a generalized Jordan triple system of second order, and is the first step in determining the structure of a generalized Jordan triple system in terms of the tripotent.
Keywords
Kantor triple , Peirce decomposition , graded Lie algebra , Idempotent , Tripotent , Jordan triple system
Journal title
Journal of Algebra
Serial Year
2007
Journal title
Journal of Algebra
Record number
698020
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