| The Uniqueness of Decomposition of Symplectic Ternary Algebras with Trivial Center |
| Received:April 30, 2008 Revised:May 16, 2009 |
| Key Words:
Symplectic ternary algebras Lie triple system center U-endomorphism.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10871192). |
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| Abstract: |
| In this paper, the authors define the center of a Symplectic ternary algebra, and investigate the relationship between the center of a Symplectic ternary algebra and that of the Lie triple system associated with it. As an application of the relationship, the unique decomposition theorem for Symplectic ternary algebras with trivial center is obtained. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.03.006 |
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