Invariant quadratic forms on finite dimensional lie algebras

DOI10.1017/S0004972700002835zbMath0573.17006MaRDI QIDQ3691894

Verena S. Keith, Karl Heinrich Hofmann

Publication date: 1986

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

structure theoremgeneral constructionLie algebras with invariant quadratic forms

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05)

Related Items (16)

Lie algebras with a finite number of ideals ⋮ Algebres de lie orthogonales modules orthogonaux ⋮ Canonical complex structures associated to connections and complexifications of Lie groups ⋮ Quadratic symplectic Lie superalgebras with a filiform module as an odd part ⋮ Unnamed Item ⋮ Quasi Poisson structures, weakly quasi Hamiltonian structures, and Poisson geometry of various moduli spaces ⋮ Examples and patterns on quadratic Lie algebras ⋮ Orthogonal lie algebras with cone potential ⋮ Quadratic Malcev superalgebras. ⋮ Quadratic Lie superalgebras generalized by Balinsky-Novikov superalgebras ⋮ Unnamed Item ⋮ Odd-quadratic Lie superalgebras ⋮ Quadratic Lie superalgebras with a reductive even part ⋮ Equivalent constructions of nilpotent quadratic Lie algebras ⋮ Lorentzian cones in real Lie algebras ⋮ Double extension of quadratic lie superalgebras

Cites Work

• Curvatures of left invariant metrics on Lie groups

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