Real rigid solvable Lie algebras are not necessarily completely solvable

DOI10.1016/j.laa.2006.02.033zbMath1161.17005OpenAlexW2026210668WikidataQ115344916 ScholiaQ115344916MaRDI QIDQ855556

L. García Vergnolle, José María Ancochea Bermúdez, Otto Rutwig Campoamor Stursberg

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.02.033

zbMATH Keywords

real formscomplete solvabilityrigid solvable Lie algebras

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

Related Items (4)

New examples of rank one solvable real rigid Lie algebras possessing a nonvanishing Chevalley cohomology ⋮ Solvable Indecomposable Extensions of Two Nilpotent Lie Algebras ⋮ Classification of solvable real rigid Lie algebras with a nilradical of dimension \(n \leq 6\) ⋮ Some features of rank one real solvable cohomologically rigid Lie algebras with a nilradical contracting onto the model filiform Lie algebra \(Q_n\)

Cites Work

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• Sur la structure des algèbres de Lie rigides. (On the structure of the rigid Lie algebras)
• A graph theoretical determination of solvable complete rigid Lie algebras.
• Two-step solvable Lie algebras and weight graphs
• Le rang du systeme lineaire des racines d'une algebre de lie rigide resoluble complexe
• On the nonrationality of rigid Lie algebras
• Invariants of solvable rigid Lie algebras up to dimension 8
• On the classification of rigid Lie algebras

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