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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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Official URL: https://www.mdpi.com/
URL | URL Type |
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https://www.mdpi.com/journal/axioms | UNSPECIFIED |
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 |
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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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