Structure of nilpotent Lie algebra by its multiplier

@article{Niroomand2010StructureON,
  title={Structure of nilpotent Lie algebra by its multiplier},
  author={Peyman Niroomand},
  journal={arXiv: Rings and Algebras},
  year={2010}
}
  • P. Niroomand
  • Published 8 March 2010
  • Mathematics
  • arXiv: Rings and Algebras
For a finite dimensional Lie algebra $L$, it is known that $s(L)=\f{1}{2}(n-1)(n-2)+1-\mathrm{dim} M(L)$ is non negative. Moreover, the structure of all finite nilpotent Lie algebras is characterized when $s(L)=0,1$ in \cite{ni,ni4}. In this paper, we intend to characterize all nilpotent Lie algebra while $s(L)=2.$ 
1 Citations
On characterizing nilpotent Lie algebras by their multiplier, $$s(L)=4$$s(L)=4
Let L be a non-abelian nilpotent Lie algebra of dimension n and $$s(L)=\frac{1}{2}(n-1)(n-2)+1- \dim {\mathcal {M}}(L)$$s(L)=12(n-1)(n-2)+1-dimM(L), where $${\mathcal {M}}(L)$$M(L) denotes the Schur

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