Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals

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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2021-07
Main Authors: Le, Vu A, Nguyen, Tuan A, Nguyen, Tu T C, Nguyen, Tuyen T M, Vo, Thieu N
Format: Article
Language:English
Subjects:
Algebra
Classification
Lie groups
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 Karásek (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.
ISSN:2331-8422