Title : ( Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field )
Authors: Peyman Niroomand , Farangis Johari , Mohsen Parvizi ,
Full TextAbstract
In this paper, we classify all capable nilpotent Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. Moreover, the explicit structure of such Lie algebras of class 3 is given
Keywords
Capability; Schur multiplier; generalized Heisenberg Lie algebras; stem Lie algebras
@article{paperid:1070498,
author = {Peyman Niroomand and Johari, Farangis and Parvizi, Mohsen},
title = {Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field},
journal = {Linear and Multilinear Algebra},
year = {2018},
volume = {67},
number = {3},
month = {January},
issn = {0308-1087},
pages = {542--554},
numpages = {12},
keywords = {Capability; Schur multiplier;
generalized Heisenberg Lie
algebras; stem Lie algebras},
}
%0 Journal Article
%T Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field
%A Peyman Niroomand
%A Johari, Farangis
%A Parvizi, Mohsen
%J Linear and Multilinear Algebra
%@ 0308-1087
%D 2018
