This article is cited in 2 papers

Local and 2-local derivations of locally simple Lie algebras

Sh. Ayupov^ab, K. Kudaybergenov^c, B. Yusupov<sup>b

a</sup> Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan
^b National University of Uzbekistan, Tashkent, Uzbekistan
^c Karakalpak State University, Nukus, Uzbekistan

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.

UDC: 512.554

DOI: 10.22363/2413-3639-2022-68-1-59-69