Almost inner derivations of Lie algebras

DOI10.1142/S0219498818502146zbMath1429.17018arXiv1704.06159OpenAlexW2621290000WikidataQ115245618 ScholiaQ115245618MaRDI QIDQ4644386

Karel Dekimpe, Bert Verbeke, Dietrich Burde

Publication date: 4 January 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06159

zbMATH Keywords

almost inner derivationscentral almost inner derivations

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (11)

The structure of almost Abelian Lie algebras ⋮ Dual quaternion algebra and its derivations ⋮ Derivations of two-step nilpotent algebras ⋮ Tate–Shafarevich groups and algebras ⋮ Almost abelian Lie groups, subgroups and quotients ⋮ Almost inner derivations of 2-step nilpotent Lie algebras of genus 2 ⋮ Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? ⋮ The structure of underlying Lie algebras ⋮ Almost inner derivations of Lie algebras II ⋮ Almost Inner Derivations of Some Nilpotent Leibniz Algebras ⋮ Some Properties of ID∗-n-Lie-derivations of Leibniz algebras

Cites Work

• The moduli space of complex 5-dimensional Lie algebras
• A class of Sasakian 5-manifolds
• Local derivations on finite-dimensional Lie algebras
• Isospectral deformations of compact solvmanifolds
• On the conjugacy of element-conjugate homomorphisms
• Abelian ideals of maximal dimension for solvable Lie algebras
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
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