Title : ( Some Criteria for Detecting Capable Lie Aldebras )
Authors: Peyman Niroomand , Mohsen Parvizi , Francesco G. Russo ,
Full TextAbstract
In virtue of a recent bound obtained in [P. Niroomand, F.G. Russo, A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra 39 (2011) 1293–1297], we classify all capable nilpotent Lie algebras of finite dimension possessing a derived subalgebra of dimension one. Indirectly, we find also a criterion for detecting noncapable Lie algebras. The final part contains a construction, which shows that there exist capable Lie algebras of arbitrary big corank (in the sense of Berkovich–Zhou).
Keywords
Schur multipliers; Capable Lie algebras; Exterior product; Corank
@article{paperid:1036664,
author = {Peyman Niroomand and Parvizi, Mohsen and Francesco G. Russo},
title = {Some Criteria for Detecting Capable Lie Aldebras},
journal = {Journal of Algebra},
year = {2013},
volume = {384},
number = {15},
month = {June},
issn = {0021-8693},
pages = {36--44},
numpages = {8},
keywords = {Schur multipliers; Capable Lie algebras; Exterior product; Corank},
}
%0 Journal Article
%T Some Criteria for Detecting Capable Lie Aldebras
%A Peyman Niroomand
%A Parvizi, Mohsen
%A Francesco G. Russo
%J Journal of Algebra
%@ 0021-8693
%D 2013
