On the Nilpotency of a Pair of Lie Algebras
DOI:
https://doi.org/10.11113/matematika.v32.n1.805Abstract
In this paper, we introduce the new concepts of nilpotency, upper and lower central series for a pair of Lie algebras $(L,N)$, in which $N$ is an ideal of Lie algebra $L$. We study the properties of these concepts and prove the analogue of RobinsonTheorem for a pair of Lie algebras plays an important role to find the results connecting to the idea of nilpotency in the pair of Lie algebras. In particular we find a criterion such that an extension of pair of Lie algebras can be nilpotent.
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Published
2016-06-30
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