A class of Solvable Lie algebras
Yan Wang, Ran Cui, ShaoQiang Deng
TL;DR
This paper classifies all finite-dimensional indecomposable solvable Lie algebras with a specific nilradical, showing their dimension is bounded by the nilradical's dimension plus two.
Contribution
It provides a complete classification of such Lie algebras, revealing their maximal possible dimension relative to the nilradical.
Findings
Dimension of g is at most dimQ_(2m+1)+2
Complete classification of indecomposable solvable Lie algebras with given nilradical
Bound on the dimension of these Lie algebras
Abstract
All finite-dimensional indecomposable solvable Lie algebras g, having the filiform Lie algebra Q_(2m+1) as the nilradical, are studied and classified. It turns out that the dimension of g is at most dimQ_(2m+1)+2.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry