Journal of Hebei University(Natural Science Edition) >

2001 , Vol. 21 >Issue 4: 360 - 362

DOI: https://doi.org/10.3969/j.issn.1000-1565.2001.04.003

On Symplectic Ternary Algebras

  • BAI Xi-mei ,
  • ZHANG Zhi-xue
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Online published: 2001-10-25

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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.

Cite this article

BAI Xi-mei , ZHANG Zhi-xue . On Symplectic Ternary Algebras[J]. Journal of Hebei University(Natural Science Edition), 2001 , 21(4) : 360 -362 . DOI: 10.3969/j.issn.1000-1565.2001.04.003

References

[1] JOHN R FAULKNER, Jaseph C Ferrar. On the structure of symplectic ternary algebra [J]. Nederl Akad Wetensch Proc Ser A 1972.
[2] NORIKA KAMIYA. A structure theory of Frendenthal-Kantor triple systems [J]. Journal of Algebra 1987, 110.
[3] NORIKA KAMIYA. The wedderburn principal theorem for Frendenthal-Kantor triple systems [J]. Bulletin of the Polish Academy of Sciences Mathematics 1992, 40(02).
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