Abstract
We determine the number of centralizers of different non-abelian finite dimensional Lie algebras over a specific field. Also, the concept of Lie algebras with abelian centralizers are studied and using a result of Bokut and Kukin [5], for a given residually free Lie algebra L, it is shown that L is fully residually free if and only if every centralizer of non-zero elements of L is abelian.
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Saffarnia, S., Moghaddam, M.R.R. & Rostamyari, M.A. Centralizers in Lie Algebras. Indian J Pure Appl Math 49, 39–49 (2018). https://doi.org/10.1007/s13226-018-0252-0
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DOI: https://doi.org/10.1007/s13226-018-0252-0