Hyperplane subalgebras of real Lie algebras

DOI10.1007/BF00150789zbMath0718.17006OpenAlexW2095251008MaRDI QIDQ2639149

Karl Heinrich Hofmann

Publication date: 1990

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00150789

zbMATH Keywords

radicalreal Lie algebrasLevi decompositionLie semialgebrashalfspace semigroupshyperplane subalgebrassubalgebras of codimension one

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) General properties and structure of real Lie groups (22E15) Solvable, nilpotent (super)algebras (17B30) Structure of topological semigroups (22A15)

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Germs of integrable forms and varieties of minimal degree ⋮ On the causal structure of Lorentzian Lie groups. A globality theorem for Lorentzian cones in certain solvable Lie algebras ⋮ Controllability on real reductive Lie groups ⋮ Reflection positive stochastic processes indexed by Lie groups ⋮ Controllability of invariant systems on Lie groups and homogeneous spaces. ⋮ Ol'shanskiĭ wedges in symmetric Lie algebras ⋮ Totally geodesic hypersurfaces of homogeneous spaces ⋮ On porcupine varieties in Lie algebras

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