Systeme de poids sur une algèbre de Lie nilpotente

DOI10.1007/BF01320668zbMath0253.17011MaRDI QIDQ2557759

Gabriel Favre

Publication date: 1973

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154158

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Solvable, nilpotent (super)algebras (17B30)

Related Items (25)

Completable filiform Lie algebras. ⋮ Completeness of quasi-filiform Lie algebras ⋮ Le rang du systeme lineaire des racines d'une algebre de lie rigide resoluble complexe ⋮ L'ensemble des algèbres de Lie algébriques n'est pas Zariski-dense dans la variété des algèbres de Lie de dimension m\(\geq 9\). (The set of algebraic Lie algebras is not Zariski dense in the variety of Lie algebras of dimension m\(\geq 9)\) ⋮ Algorithmic construction of solvable rigid Lie algebras determined by generating functions ⋮ Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence ⋮ Generalized Cartan matrices associated to \(k\)-th Yau algebras of singularities and characterization theorem ⋮ A graph theoretical determination of solvable complete rigid Lie algebras. ⋮ Different methods for the study of obstructions in the schemes of Jacobi ⋮ Kac-Moody Lie algebras and the universal element for the category of nilpotent Lie algebras ⋮ Gradings for nilpotent Lie algebras ⋮ Unnamed Item ⋮ Real solvable algebraically rigid Lie algebras ⋮ The classification of two step nilpotent complex Lie algebras of dimension 8 ⋮ On quasi-filiform Lie algebras admitting a torus of derivations ⋮ New examples of rank one solvable real rigid Lie algebras possessing a nonvanishing Chevalley cohomology ⋮ Classification of solvable real rigid Lie algebras with a nilradical of dimension \(n \leq 6\) ⋮ Simple completable contractions of nilpotent Lie algebras ⋮ On the generalized Cartan matrices arising from \(k\)-th Yau algebras of isolated hypersurface singularities ⋮ Nilpotent Lie algebras of classical simple type ⋮ Generalized Cartan matrices arising from new derivation Lie algebras of isolated hypersurface singularities ⋮ Some features of rank one real solvable cohomologically rigid Lie algebras with a nilradical contracting onto the model filiform Lie algebra \(Q_n\) ⋮ Multi-moment maps ⋮ Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups ⋮ Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities

Cites Work

• The derivations of the Lie algebras
• Derivations of Lie algebras. III
• Fully Reducible Subgroups of Algebraic Groups
• On Derivations and Holomorphs of Nilpotent Lie Algebras
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