2026-08-24T05:19:05Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/131612024-07-16T15:20:53Zcom_20.500.14352_14col_20.500.14352_15

Some features of rank one real solvable cohomologically rigid lie algebras with a nilradical contracting onto the model filiform lie algebra Qn Campoamor Stursberg, Otto-Rudwig Oviaño García, Francisco The generic structure and some peculiarities of real rank one solvable Lie algebras possessing a maximal torus of derivations with the eigenvalue spectrum spec(t) = (1, k, k +1, ..., n + k-3, n +2k -3) for k [mayor o igual] 2 are analyzed, with special emphasis on the resulting Lie algebras for which the second Chevalley cohomology space vanishes. From the detailed inspection of the values k [menor o igual] 5, some series of cohomologically rigid algebras for arbitrary values of k are determined. 2023-06-17T13:20:34Z 2023-06-17T13:20:34Z 2019 journal article 2075-1680 10.3390/axioms8010010 https://hdl.handle.net/20.500.14352/13161 https//doi.org/10.3390/axioms8010010 https://www.mdpi.com/journal/axioms spa open access MDPI