Abstract
Every tripotent e of a generalized Jordan triple system J of order l uniquely defines a decomposition into the direct sum of l2 + 2 l 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.
Original language | English |
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Pages (from-to) | 829-857 |
Number of pages | 29 |
Journal | Journal of Algebra |
Volume | 310 |
Issue number | 2 |
DOIs | |
State | Published - 15 Apr 2007 |
Keywords
- Graded Lie algebra
- Idempotent
- Jordan triple system
- Kantor triple
- Peirce decomposition
- Tripotent