中心为零的辛三代数的唯一分解

The Uniqueness of Decomposition of Symplectic Ternary Algebras with Trivial Center

中文关键词:  辛三代数  李三系  中心  U-自同态.

英文关键词:Symplectic ternary algebras  Lie triple system  center  U-endomorphism.

中文摘要:

      本文给出了辛三代数的中心的定义,并通过建立辛三代数和与之联系的李三系的中心之间的关系,将中心为零的李三系的分解唯一性定理进行了推广,得到了辛三代数的分解唯一性定理.

英文摘要:

      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.