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Solvable Lie algebras with triangular nilradicals

S TremblayCentre de recherches mathématiques et Département de physique, Université de Montréal, CP 6128, succ. Centre-ville, Montréal, QC H3C 3J7, CanadaP WinternitzCentre de recherches mathématiques et Département de mathématiques et statistiques, Université de Montréal, CP 6128, succ. Centre-ville, Montréal, QC H3C 3J7, Canada
1998en
ABI

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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 $1\leq f\leq n-1$ and the dimension of the Lie algebra is $\dim L(n,f)=f+{1/2}n(n-1)$.

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