Algebres de lie orthogonales modules orthogonaux

DOI10.1080/00927879308824678zbMath0784.17011OpenAlexW1967593157MaRDI QIDQ5287571

Philippe Revoy, Alberto Medina

Publication date: 17 August 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824678

zbMATH Keywords

orthogonal Lie algebraextension theoryhomology modulesorthogonal modulesinvariant quadratic form

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Homological methods in Lie (super)algebras (17B55) Lie algebras of Lie groups (22E60)

Related Items (6)

Riemannian geometry on contact Lie groups ⋮ Orthogonal lie algebras with cone potential ⋮ Quadratic Malcev superalgebras. ⋮ Lie algebras admitting a unique quadratic structure ⋮ A homogeneous space–time model with singularities ⋮ L'homomorphisme de Harish-Chandra pour les paires symétriques orthogonales et parties radiales des opérateurs différentiels invariants sur les espaces symétriques

Cites Work

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• Elementary zeros of Lie algebras of vector fields
• Les groupes oscillateurs et leurs réseaux. (Oscillator groups and their lattices)
• Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
• Invariant quadratic forms on finite dimensional lie algebras

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