Title : ( 2-capability and 2-nilpotent multiplier of finite dimensional nilpotent Lie algebras )
Authors: P.Niroomand , Mohsen Parvizi ,
Full TextAbstract
In the present context, we investigate to obtain some more results about 2-nilpotent multiplier M(2)(L) of a finite dimensional nilpotent Lie algebra L. For instance, we characterize the structure of M(2)(H) when H is a Heisenberg Lie algebra. Moreover, we give some inequalities on dim M(2)(L) to reduce a well known upper bound on 2-nilpotent multiplier as much as possible. Finally, we show that H(m) is 2-capable if and only if m=1.
Keywords
, 2-capable Lie algebra, Heisenberg algebras, derived subalgebra, 2-nilpotent multiplier
@article{paperid:1066855,
author = {P.Niroomand and Parvizi, Mohsen},
title = {2-capability and 2-nilpotent multiplier of finite dimensional nilpotent Lie algebras},
journal = {Journal of Geometry and Physics},
year = {2017},
volume = {121},
month = {November},
issn = {0393-0440},
pages = {180--185},
numpages = {5},
keywords = {2-capable Lie algebra; Heisenberg algebras; derived subalgebra; 2-nilpotent multiplier},
}
%0 Journal Article
%T 2-capability and 2-nilpotent multiplier of finite dimensional nilpotent Lie algebras
%A P.Niroomand
%A Parvizi, Mohsen
%J Journal of Geometry and Physics
%@ 0393-0440
%D 2017
