Centralizers in Lie Algebras

Somayeh Saffarnia (), Mohammad Reza R. Moghaddam () and Mohammad Amin Rostamyari ()
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Somayeh Saffarnia: Ferdowsi University of Mashhad
Mohammad Reza R. Moghaddam: Khayyam University
Mohammad Amin Rostamyari: Khayyam University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 1, 39-49

Abstract: 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.

Keywords: Centralizer; n-centralizer Lie algebras; CT Lie algebra; free Lie algebra (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-018-0252-0

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