The Associative Forms of the Graded Cartan Type Lie Algebras

DOI10.2307/2000164zbMath0591.17009OpenAlexW4254034020MaRDI QIDQ3718882

Rolf Farnsteiner

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000164

zbMATH Keywords

graded Lie algebrasLie algebras of Cartan typenonsingular associative form

Mathematics Subject Classification ID

Modular Lie (super)algebras (17B50)

Related Items (9)

Presenting the graded Lie algebra associated to the Nottingham group ⋮ Some special features of Cayley algebras, and \(G_2\), in low characteristics ⋮ Special odd Lie superalgebras in prime characteristic ⋮ Double extensions of restricted Lie (super)algebras ⋮ Central extensions and \(H^ 1(L, L^*)\) of the graded Lie algebras of Cartan type ⋮ Lie algebras with a coalgebra splitting ⋮ Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras ⋮ Gradings of non-graded Hamiltonian Lie algebras ⋮ Loop algebras of Zassenhaus algebras in characteristic three

Cites Work

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• On ad-semisimple Lie algebras
• A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
• On groups of automorphisms of Lie algebras
• New Simple Lie Algebras of Prime Characteristic
• On Lie Algebras of Classical Type
• Trace Forms on Lie Algebras
• On the Extensions of Lie Algebras
• Cohomology of Restricted Lie Algebras

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