Structure of nilpotent Lie algebra by its multiplier

Peyman Niroomand

doi:10.2478/s11533-010-0079-3

Structure of nilpotent Lie algebra by its multiplier

Rings and Algebras 2021-05-21 v1

Authors: Peyman Niroomand

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Abstract

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 $s(L)=2.$

Keywords

nilpotent lie algebra multiplier structure characterization finite dimensional lie algebra schur multiplier

Cite

@article{arxiv.1003.1693,
  title  = {Structure of nilpotent Lie algebra by its multiplier},
  author = {Peyman Niroomand},
  journal= {arXiv preprint arXiv:1003.1693},
  year   = {2021}
}

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