Title : ( Capability and Schur multiplier of a pair of Lie algebras )
Authors: Farangis Johari , Mohsen Parvizi , P.Niroomand ,
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Abstract
The aim of this work is to find some criteria for detecting the capability of a pair of Lie algebras. We characterize the exact structure of all pairs of capable Lie algebras in the class of abelian and Heisenberg ones. Among the other results, we also give some exact sequences on the Schur multiplier and exterior product of Lie algebras.
Keywords
, Schur multiplier, Capable Lie algebra, Capable pair of Lie algebras, Exterior product, Tensor product
@article{paperid:1060521,
author = {Johari, Farangis and Parvizi, Mohsen and P.Niroomand},
title = {Capability and Schur multiplier of a pair of Lie algebras},
journal = {Journal of Geometry and Physics},
year = {2017},
volume = {114},
number = {1},
month = {January},
issn = {0393-0440},
pages = {184--196},
numpages = {12},
keywords = {Schur multiplier; Capable Lie algebra; Capable pair of Lie algebras; Exterior product; Tensor product},
}
%0 Journal Article
%T Capability and Schur multiplier of a pair of Lie algebras
%A Johari, Farangis
%A Parvizi, Mohsen
%A P.Niroomand
%J Journal of Geometry and Physics
%@ 0393-0440
%D 2017
