Solvable Lie algebras with triangular nilradicals

Abstract

All finite-dimensional indecomposable solvable Lie algebras $L(n,f)$, having the triangular algebra T(n) as their nilradical, are constructed. The number of nonnilpotent elements $f$ in $L(n,f)$ satisfies $1\le f\le n-1$ and the dimension of the Lie algebra is $\dim L(n,f)=f+1/2n(n-1)$.

Cited by in corpus (10)

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• Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements
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• On the structure of maximal solvable extensions and of Levi extensions of nilpotent algebras
• Invariants of Triangular Lie Algebras
• Invariants of triangular Lie algebras with one nilindependent diagonal element
• Solvable Lie algebras with Borel nilradicals