Local derivations of semisimple Leibniz algebras
Ivan Kaygorodov, Karimbergen Kudaybergenov, Inomjon Yuldashev
TL;DR
This paper proves that in complex semisimple finite-dimensional Leibniz algebras, all local derivations are actually derivations, confirming a conjecture in the structure theory of Leibniz algebras.
Contribution
It establishes that every local derivation on such algebras is a derivation, extending known results from Lie algebras to Leibniz algebras.
Findings
All local derivations are derivations in complex semisimple Leibniz algebras.
Supports the structural similarity between Leibniz and Lie algebras.
Advances understanding of derivation properties in Leibniz algebra theory.
Abstract
We prove that every local derivation on a complex semisimple finite-dimensional Leibniz algebra is a derivation.
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