Computing the index of Lie algebras

Proceedings of the Estonian Academy of Sciences

Hadjer Adimi¹  Abdenacer Makhlouf¹ 

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关键词: Lie algebra;    index;    regular vector;    deformation;   

DOI  :  10.3176/proc.2010.4.03

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

The aim of this paper is to compute and discuss the index of Lie algebras. We consider the n-dimensional Lie algebras for n < 5 and the case of filiform Lie algebras which form a special class of nilpotent Lie algebras. We compute the index of generalized Heisenberg algebras and graded filiform Lie algebras Ln and Qn. We also discuss the evolution of the Lie algebra index by deformation.

【 授权许可】

Unknown