RT Journal Article T1 Construction of rank-one solvable rigid Lie algebras with nilradicals of a decreasing nilpotence index A1 Campoamor Stursberg, Otto-Rudwig A1 OviaΓ±o GarcΓ­a, Francisco AB It is shown that for any integers π‘˜β‰₯2 , π‘žβ‰₯2π‘˜ and 𝑁β‰₯π‘˜+π‘ž+2 , there exists a real solvable Lie algebra of the first rank with a maximal torus of derivations 𝔱 possessing the eigenvalue spectrum spec(𝔱)=(1,2,β‹―,π‘˜,π‘ž,π‘ž+1β‹―,𝑁), a nilradical of the nilpotence index π‘βˆ’π‘˜ and a characteristic sequence (π‘βˆ’π‘˜,1π‘˜). . PB MDPI YR 2023 FD 2023-07-30 LK https://hdl.handle.net/20.500.14352/87605 UL https://hdl.handle.net/20.500.14352/87605 LA eng DS Docta Complutense RD 31 dic 2025