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Some features of rank one real solvable cohomologically rigid lie algebras with a nilradical contracting onto the model filiform lie algebra Qn

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Campoamor-Stursberg, Rutwig and Oviaño García, Francisco (2019) Some features of rank one real solvable cohomologically rigid lie algebras with a nilradical contracting onto the model filiform lie algebra Qn. Axioms, 8 (1). ISSN 2075-1680

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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Álgebra, Cohomología, Álgebra de Lie
Palabras clave (otros idiomas):Real lie algebra, Solvable; Rigidity, Cohomology, Contraction
Subjects:Sciences > Mathematics
Sciences > Mathematics > Algebra
ID Code:54658
Deposited On:12 Mar 2019 13:06
Last Modified:12 Mar 2019 13:06

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