Local and 2-Local Derivations of Locally Simple Lie Algebras
Sh. A. AyupovRomanovskiy Institute of Mathematics; National University of UzbekistanKarimbergen KudaybergenovKarakalpak State UniversityB. B. YusupovNational University of Uzbekistan
ABI
Abstract
In the present paper, we study local and 2-local derivations of the classical locally simple Lie algebras. Firstly, we prove that every local and 2-local derivations on classical locally simple Lie algebra is a derivation. Further, we show that every local derivation of Borel subalgebras of locally simple Lie algebras is a derivation.