English

On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7

Rings and Algebras 2022-02-21 v1

Abstract

Let L L be an n n -dimensional non-abelian nilpotent Lie algebra and s(L)=12(n1)(n2)+1dimM(L) s(L)=\frac{1}{2}(n-1)(n-2)+1-\dim \mathcal{M}(L) where M(L) \mathcal{M}(L) is the Schur multiplier of a Lie algebra L. L. The structures of nilpotent Lie algebras L L when s(L){0,1,2,3,4,5} s(L)\in \lbrace 0,1,2,3,4,5\rbrace are determined. In this paper, we classify all non-abelian nilpotent Lie algebras L L when s(L)=6,7. s(L)=6,7.

Keywords

Cite

@article{arxiv.2111.07172,
  title  = {On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7},
  author = {A. Shamsaki and P. Niroomand},
  journal= {arXiv preprint arXiv:2111.07172},
  year   = {2022}
}