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Contemporary Mathematics. Fundamental Directions, 2022, Volume 68, Issue 1, Pages 59–69
DOI: https://doi.org/10.22363/2413-3639-2022-68-1-59-69 (Mi cmfd452) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Local and 2-local derivations of locally simple Lie algebras

Sh. Ayupovab, K. Kudaybergenovc, B. Yusupovb

a Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan
b National University of Uzbekistan, Tashkent, Uzbekistan
c Karakalpak State University, Nukus, Uzbekistan
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DOI: https://doi.org/10.22363/2413-3639-2022-68-1-59-69
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.
Document Type: Article
UDC: 512.554
Language: Russian
Citation: Sh. Ayupov, K. Kudaybergenov, B. Yusupov, “Local and 2-local derivations of locally simple Lie algebras”, Science — Technology — Education — Mathematics — Medicine, CMFD, 68, no. 1, PFUR, M., 2022, 59–69
Citation in format AMSBIB
\Bibitem{AyuKudYus22}
\by Sh.~Ayupov, K.~Kudaybergenov, B.~Yusupov
\paper Local and 2-local derivations of locally simple Lie algebras
\inbook Science — Technology — Education — Mathematics — Medicine
\serial CMFD
\yr 2022
\vol 68
\issue 1
\pages 59--69
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd452}
\crossref{https://doi.org/10.22363/2413-3639-2022-68-1-59-69}
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