辛代数的结构(英文)

On Symplectic Ternary Algebras

考查了辛代数型与李三系的型之间的关系 ,在此过程中充分运用了李代数、辛代数、李三系三者之间的关系 ,建立了辛代数与李三系型之间的关系表达式 。

The authors investigate the corresponence between the trace form of a Lie triple system and that of a symplectic ternary algebra.In the progress of the note,the authors make use of the relationships among Lie algebras,Lie triple systems,and symplectic ternary algebras,and construct the relation formula of the forms.By this formula,the authors draw the conclusion of theorem about the forms.