Solvable Lie algebras with triangular nilradicals

Details Solvable Lie algebras with triangular nilradicals Solvable Lie algebras with triangular nilradicals

2007-09-22

arxiv.org/abs/0709.3581v1

J. Phys. A: Math. Gen., 31, No 2 (1998) 789-806

Mathematics

Rings and Algebras

Scientific paper

10.1088/0305-4470/31/2/033

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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