On split Lie superalgebras

被引：2
|
作者：
Calderon Martin, Antonio J. [1 ]
Sanchez Delgado, Jose M. [1 ]
机构：
[1] Univ Cadiz, Dept Matemat, Cadiz 11510, Spain
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 07期
关键词：
ALGEBRAS; SYSTEMS;
D O I：
10.1063/1.3464265
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the structure of arbitrary split Lie superalgebras. We show that any of such superalgebras L is of the form L=U+Sigma(j)I(j) with U a subspace of the Abelian (graded) subalgebra H and any I(j), a well described (graded) ideal of L satisfying [I(j),I(k)]=0 if j not equal k. Under certain conditions, the simplicity of L is characterized and it is shown that L is the direct sum of the family of its minimal (graded) ideals, each one being a simple split Lie superalgebra. (C) 2010 American Institute of Physics. [doi:10.1063/1.3464265]
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页数：9
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