There are no rigid filiform Lie algebras of low dimension

zbMath1439.17015arXiv1709.04793MaRDI QIDQ5227608

Paulo Tirao, Sonia Vera

Publication date: 6 August 2019

Full work available at URL: https://arxiv.org/abs/1709.04793

zbMATH Keywords

deformationsfiliform Lie algebrasVergne's conjecture

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30)

Related Items (4)

Varieties of nilpotent Lie superalgebras of dimension \(\leq 5\) ⋮ A distinguished example of filiform deformation ⋮ The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras ⋮ Deformations and rigidity in varieties of Lie algebras

Cites Work

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• Sur la structure des algèbres de Lie rigides. (On the structure of the rigid Lie algebras)
• Classification of filiform Lie algebras in dimension 8
• Low-dimensional filiform Lie algebras
• Deformations of Lie algebras
• FILIFORM LIE ALGEBRAS OF DIMENSION 8 AS DEGENERATIONS
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

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