Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals
Rings and Algebras
2021-07-09 v1
Abstract
This paper presents a classification of 7-dimensional real and complex indecomposable solvable Lie algebras having some 5-dimensional nilradicals. Afterwards, we combine our results with those of Rubin and Winternitz (1993), Ndogmo and Winternitz (1994), Snobl and Winternitz (2005, 2009), Snobl and Kar\'asek (2010) to obtain a complete classification of 7-dimensional real and complex indecomposable solvable Lie algebras with 5-dimensional nilradicals. In association with Gong (1998), Parry (2007), Hindeleh and Thompson (2008), we achieve a classification of 7-dimensional real and complex indecomposable solvable Lie algebras.
Keywords
Cite
@article{arxiv.2107.03990,
title = {Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals},
author = {Vu A. Le and Tuan A. Nguyen and Tu T. C. Nguyen and Tuyen T. M. Nguyen and Thieu N. Vo},
journal= {arXiv preprint arXiv:2107.03990},
year = {2021}
}
Comments
24 pages, 3 talbles