Title : ( On the capability and Schur multiplier of nilpotent Lie algebra of class two )
Authors: Peyman Niroomand , Farangis Johari , Mohsen Parvizi ,
Full TextAbstract
Recently, the authors in a joint paper obtained the structure of all capable nilpotent Lie algebras with derived subalgebra of dimension at most 1. The paper is devoted to characterize all capable nilpotent Lie algebras of class two with derived subalgebra of dimension 2. It develops and generalizes the result due to Heineken for the group case
Keywords
, nilpotent Lie algebra, Schur multiplier, capable Lie algebra.
@article{paperid:1054498,
author = {Peyman Niroomand and Johari, Farangis and Parvizi, Mohsen},
title = {On the capability and Schur multiplier of nilpotent Lie algebra of class two},
journal = {Proceedings of the American Mathematical Society},
year = {2016},
volume = {144},
number = {10},
month = {May},
issn = {0002-9939},
pages = {4157--4168},
numpages = {11},
keywords = {nilpotent Lie algebra; Schur multiplier; capable Lie algebra.},
}
%0 Journal Article
%T On the capability and Schur multiplier of nilpotent Lie algebra of class two
%A Peyman Niroomand
%A Johari, Farangis
%A Parvizi, Mohsen
%J Proceedings of the American Mathematical Society
%@ 0002-9939
%D 2016
