Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals
Vu A. Le, Tuan A. Nguyen, Tu T. C. Nguyen, Tuyen T. M. Nguyen, Thieu N. Vo
Abstract
By combining basic techniques in Lie Theory and a computer algebra tool which is the so-called triangular decomposition, the class of 7-dimensional real and complex indecomposable solvable Lie algebras having 5-dimensional nilradicals is classified up to isomorphism. In association with Gong (1998), Parry (2007), Hindeleh and Thompson (2008), we achieve a full classification of 7-dimensional real and complex indecomposable solvable Lie algebras.
Topics & Concepts
MathematicsPure mathematicsLie algebraAlgebra over a fieldAdjoint representation of a Lie algebraRepresentation of a Lie groupLie conformal algebraAdvanced Topics in AlgebraAlgebraic structures and combinatorial modelsFinite Group Theory Research