Metric Lie algebras with maximal isotropic centre

DOI10.1007/s00209-003-0575-2zbMath1046.17003arXivmath/0209366OpenAlexW2125270514MaRDI QIDQ1434174

Martin Olbrich, Ines Kath

Publication date: 1 July 2004

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209366

zbMATH Keywords

solvable Lie algebraLie algebras of index 2Lie algebras with maximal isotropic centermetric Lie algebraorthogonal representations of abelian Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Differential geometry of symmetric spaces (53C35)

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On the cohomology of Lie algebras with an invariant inner product ⋮ Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension ⋮ Free nilpotent Lie algebras admitting ad-invariant metrics ⋮ Double extensions on Riemannian Ricci nilsolitons ⋮ Conformal properties of indefinite bi-invariant metrics ⋮ Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups ⋮ Limits of JT gravity ⋮ Jacobi and Poisson algebras ⋮ Lorentzian Lie n-algebras ⋮ On a type of commutative algebras

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