The classification of nilpotent Lie algebras $L$ when $\dim \mathcal{M}(L)=\dim L^{2}=n-2$

Afsaneh Shamsaki                <meta name=

2022/101/3-4 (2) — DOI: 10.5486/PMD.2022.9110 — pp. 281-295

The classification of nilpotent Lie algebras $L$ when $\dim \mathcal{M}(L)=\dim L^{2}=n-2$

Authors: Afsaneh Shamsaki and Peyman Niroomand

Abstract:

In this paper, we classify the structure of all $n$-dimensional nilpotent Lie algebras $ L $ when $\dim\mathcal{M}(L)=\dim L^{2}=n-2$. Moreover, we show that all of them are stem and capable.

Keywords: Schur multiplier, nilpotent Lie algebra

Mathematics Subject Classification: 17B30, 17B05, 17B99