Local derivations of semisimple Leibniz algebras (Q6588438)

From MaRDI portal





scientific article; zbMATH DE number 7897664
Language Label Description Also known as
English
Local derivations of semisimple Leibniz algebras
scientific article; zbMATH DE number 7897664

    Statements

    Local derivations of semisimple Leibniz algebras (English)
    0 references
    15 August 2024
    0 references
    The paper is dedicated to the study of local derivations of semisimple finite-dimensional Leibniz algebras. The study of local derivations was started by \textit{R. V. Kadison} [J. Algebra 130, No. 2, 494--509 (1990; Zbl 0751.46041)]. On the base of the structure of semisimple Leibniz algebras the authors note that it is sufficient to consider local derivations of indicomposable semisimple Leibniz algebras. It is proved that every local derivation of a complex semisimple finite-dimensional Leibniz algebra is a derivation.
    0 references
    Leibniz algebra
    0 references
    simple algebra
    0 references
    semisimple algebra
    0 references
    local derivation
    0 references
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references