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Construction of Rank One Solvable Rigid Lie Algebras With Nilradicals of Decreasing Nilpotence Index
Version 1
: Received: 26 June 2023 / Approved: 27 June 2023 / Online: 27 June 2023 (12:54:44 CEST)
A peer-reviewed article of this Preprint also exists.
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. 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).
Keywords
Lie algebras; solvability; rigid; cohomology; Jacobi scheme
Subject
Computer Science and Mathematics, Computational Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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