Higher-Order Simple Lie Algebras

被引：0
|
作者：
J. A. de Azcárraga
J. C. Pérez Bueno
机构：
[1] Department of Applied Mathematics and Theoretical Physics,
[2] Silver St.,undefined
[3] Cambridge,undefined
[4] CB3-9EW,undefined
[5] UK,undefined
来源：
Communications in Mathematical Physics | 1997年 / 184卷
关键词：
Structure Constant; Simple Algebra; Jacobi Identity; Antisymmetric Tensor; BRST Operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is shown that the non-trivial cocycles on simple Lie algebras may be used to introduce antisymmetric multibrackets which lead to higher-order Lie algebras, the definition of which is given. Their generalised Jacobi identities turn out to be satisfied by the antisymmetric tensors (or higher-order “structure constants”) which characterise the Lie algebra cocycles. This analysis allows us to present a classification of the higher-order simple Lie algebras as well as a constructive procedure for them. Our results are synthesised by the introduction of a single, complete BRST operator associated with each simple algebra.
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页码：669 / 681
页数：12
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