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≤ f≤ n-1 and the dimension of the Lie algebra is L(n,f)=f+1/2n(n-1).

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