Geodesic
Local and 2-local derivations of locally simple Lie algebras
Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 59-69

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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. 
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     author = {Sh. Ayupov and K. Kudaybergenov and B. Yusupov},
     title = {Local and 2-local derivations of locally simple {Lie} algebras},
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     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a4/}
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Sh. Ayupov; K. Kudaybergenov; B. Yusupov. Local and 2-local derivations of locally simple Lie algebras. Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 59-69. http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a4/