辛三代数分解的唯一性

The Uniqueness of Decomposition of Symplectic Ternary Algebras

辛三代数是一种与李三系联系较为紧密的代数系统,通过建立两者中心化子的关系,将中心为0的李三系上的分解唯一性推广到了辛三代数中,即得到了辛三代数分解的唯一性定理.

Symplectic ternary algebras are introduced in connection with Lie Triple systems. We constrct the connection of the central of Lie triple system and that of a Sympiectic Ternary Algebra. Using this connection, We generalize the uniqueness of decomposition of Lie triple system to Symplectic ternary algebras, i.e. The Uniqueness of Decomposition of symplectic ternary algebras.