辛代数的Peirce分解(英文)  

On the Peirce Decomposition for Symplectic Algebras

作　　者：刘文丽[1] 张知学[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2001年第4期363-365,共3页Journal of Hebei University(Natural Science Edition)

基　　金：TheprojectissupportedbyNaturalScienceFoundationofHebeiProvince (19910 0 )

摘　　要：考察辛代数的Peirce分解 .在此过程中应用了MeybergK .关于结合代数的Peirce分解 ,利用结合代数的幂等元 ,得到了辛代数的Peirce分解 ,并得出 2个重要定理 .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.

关 键 词：辛代数 Peirce分解 幂等元 严格正交 

分 类 号：O152.5[理学—数学]