Free nilpotent Lie algebras admitting ad-invariant metrics

DOI10.1016/j.jalgebra.2012.05.016zbMath1351.17013arXiv1104.4773OpenAlexW2963788593WikidataQ115351094 ScholiaQ115351094MaRDI QIDQ1939297

Viviana del Barco, Gabriela Paola Ovando

Publication date: 4 March 2013

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

Full work available at URL: https://arxiv.org/abs/1104.4773

zbMATH Keywords

free nilpotent Lie algebraautomorphisms and derivationsad-invariant metricsfree metabelian nilpotent Lie algebra

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30)

Related Items (10)

Itô’s theorem and metabelian Leibniz algebras ⋮ New pseudo Einstein metrics on Einstein solvmanifolds ⋮ Quadratic 2-step Lie algebras: computational algorithms and classification ⋮ Free nilpotent Lie algebras admitting ad-invariant metrics ⋮ Examples and patterns on quadratic Lie algebras ⋮ Isometric actions on pseudo-Riemannian nilmanifolds ⋮ Double extensions on Riemannian Ricci nilsolitons ⋮ Free nilpotent and nilpotent quadratic Lie algebras ⋮ On extensions of free nilpotent Lie algebras of type 2 ⋮ Diagram involutions and homogeneous Ricci-flat metrics

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