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-RudwigOviaño García, Francisco2023-06-172023-06-1720192075-168010.3390/axioms8010010https://hdl.handle.net/20.500.14352/13161The 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.spaSome features of rank one real solvable cohomologically rigid lie algebras with a nilradical contracting onto the model filiform lie algebra Qnjournal articlehttps//doi.org/10.3390/axioms8010010https://www.mdpi.com/journal/axiomsopen access512ÁlgebraCohomologíaÁlgebra de LieReal lie algebraSolvableRigidityCohomologyContractionMatemáticas (Matemáticas)Álgebra12 Matemáticas1201 Álgebra