Journal of Hebei University(Natural Science Edition) >

2001 , Vol. 21 >Issue 4: 363 - 365

DOI: https://doi.org/10.3969/j.issn.1000-1565.2001.04.004

On the Peirce Decomposition for Symplectic Algebras

  • LIU Wen-li ,
  • ZHANG Zhi-xue
Expand

Online published: 2001-10-25

Fold

Abstract

The main purpose of this note is to study a Peirce decomposition for a symplectic algebra.The authors define the symplectic algebra by identities which are modified from the symplectic algebra in the paper on the structure of symplectic ternary algebras of Faulkner J R and Ferrar J C.but it is more comprehensive.Throughout the authors assume symplectic algebras over algebraically closed fields of characteristic zero unless otherwise specified.

Cite this article

LIU Wen-li , ZHANG Zhi-xue . On the Peirce Decomposition for Symplectic Algebras[J]. Journal of Hebei University(Natural Science Edition), 2001 , 21(4) : 363 -365 . DOI: 10.3969/j.issn.1000-1565.2001.04.004

References

[1] FAULKNER J R, FERRAR J C. On the structure of symplectic ternary algebras [J]. Indagationes Mathematicae 1972, 34.
[2] 刘绍学. 环与代数 [M]. 北京:科学出版社 1983.
[3] FARRAR J C. Strictly regular elements in Freudenthal triple systems [J]. Transactions of the American Mathematical Society 1972, 174.
[4] MEYBERG K. Lectures on algebras and triple systems [M]. Chrlottesville:Virginia University Press 1972.
Options
Outlines

/

〈 〉