New examples of rank one solvable real rigid Lie algebras possessing a nonvanishing Chevalley cohomology

J.M. Ancochea Bermúdez, R. Campoamor-Stursberg and F. Oviaño García

Applied Mathematics and Computation, 2018, vol. 339, issue C, 431-440

Abstract: The class of rank one solvable Lie algebras possessing a maximal torus t with eigenvalue spectrum spec(t)=(1,4,5,…,n+2) is studied in the context of rigidity. It is shown that from the value n ≥ 18, three isomorphism classes of rigid Lie algebras exist, two of them being algebraically rigid, and the third being geometrically rigid with a two-dimensional cohomology space H2(g,g).

Keywords: Lie algebra; Geometrical rigidity; Chevalley cohomology; Quadratic Rim map (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:431-440

DOI: 10.1016/j.amc.2018.07.036

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