关键词: 辛代数, 辛代数的型, 李三系的型

Abstract: 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.