Title : ( Centralizers in Lie agebras )
Authors: somayeh saffarnia , Mohammad Reza Rajabzadeh Moghaddam , Mohammad Amin Rostamyari ,
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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.
@article{paperid:1068606,
author = {Saffarnia, Somayeh and Rajabzadeh Moghaddam, Mohammad Reza and },
title = {Centralizers in Lie agebras},
journal = {Indian Journal of Pure and Applied Mathematics},
year = {2018},
volume = {49},
number = {1},
month = {March},
issn = {0019-5588},
pages = {39--49},
numpages = {10},
keywords = {Centralizer; n-centralizer; Lie algebras; CT Lie algebra;; free Lie algebra.},
}
%0 Journal Article
%T Centralizers in Lie agebras
%A Saffarnia, Somayeh
%A Rajabzadeh Moghaddam, Mohammad Reza
%A
%J Indian Journal of Pure and Applied Mathematics
%@ 0019-5588
%D 2018
