考查了辛代数的分解,在此过程中充分运用了辛代数、李三系、李代数的关系,建立了三者之间的根基关系,并由此证明了unital辛代数的分解.
The authors investigate the decomposition of unital symplectic ternary algebra.In the progress of the note,the authors construct the correspondence of the radical among Lie algebras.Lie triple systems and symplectic ternary algebras, and draw the conclusion of the wedderburn principle theorem.
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[3] NORIKA KAMIYA. The wedderburn principal theorem for frendenthal-kantor triple systems (2);137-142 [J]. Bulletin of the Polish Academy of Sciences Mathematics 1992.
