Campoamor-Stursberg, R.; García, F.O. Construction of Rank-One Solvable Rigid Lie Algebras with Nilradicals of a Decreasing Nilpotence Index. Axioms2023, 12, 754.
Campoamor-Stursberg, R.; García, F.O. Construction of Rank-One Solvable Rigid Lie Algebras with Nilradicals of a Decreasing Nilpotence Index. Axioms 2023, 12, 754.
Campoamor-Stursberg, R.; García, F.O. Construction of Rank-One Solvable Rigid Lie Algebras with Nilradicals of a Decreasing Nilpotence Index. Axioms2023, 12, 754.
Campoamor-Stursberg, R.; García, F.O. Construction of Rank-One Solvable Rigid Lie Algebras with Nilradicals of a Decreasing Nilpotence Index. Axioms 2023, 12, 754.
Abstract
It is shown that for any integers k≥2, q≥2k and N≥k+q+2 there exists a real solvable Lie algebra of rank one with a maximal torus of derivations t possessing the eigenvalue spectrum spec(t)=1,2,⋯,k,q,q+1⋯,N and a nilradical of nilpotence index N−k and characteristic sequence (N−k,1k).
Computer Science and Mathematics, Computational Mathematics
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