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Invariant metrics on nilpotent Lie algebras

open access: yesActa et Commentationes Universitatis Tartuensis de Mathematica
In this work we state criteria for a nilpotent Lie algebra  g  to admit an invariant metric. We use that g possesses two  canonical abelian ideals  i(g) ⊂ J(g) to decompose the underlying vector space of g. By using this decomposition we state sufficiency conditions for g to admit an invariant metric.
openaire   +3 more sources

Post-Lie algebra structures for perfect Lie algebras. [PDF]

open access: yesCommun Algebra
Burde D, Dekimpe K, Monadjem M.
europepmc   +1 more source

Compact homogeneous Leviflat CR-manifolds. [PDF]

open access: yesComplex Analysis Synerg, 2021
Al-Abdallah AR, Gilligan B.
europepmc   +1 more source

Lagrangian Fibrations. [PDF]

open access: yesMilan J Math, 2022
Huybrechts D, Mauri M.
europepmc   +1 more source

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