Local and 2-Local Derivations of Locally Simple Lie Algebras
- Authors: Ayupov S.A.1,2, Kudaybergenov K.K.3, Yusupov B.B.2
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Affiliations:
- Romanovskiy Institute of Mathematics
- National University of Uzbekistan
- Karakalpak State University
- Issue: Vol 68, No 1 (2022): Science — Technology — Education — Mathematics — Medicine
- Pages: 59-69
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/30851
- DOI: https://doi.org/10.22363/2413-3639-2022-68-1-59-69
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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.
About the authors
Sh. A. Ayupov
Romanovskiy Institute of Mathematics; National University of Uzbekistan
Email: sh_ayupov@mail.ru
Tashkent, Uzbekistan
K. K. Kudaybergenov
Karakalpak State University
Email: karim2006@mail.ru
Nukus, Uzbekistan
B. B. Yusupov
National University of Uzbekistan
Author for correspondence.
Email: baxtiyor_yusupov_93@mail.ru
Tashkent, Uzbekistan
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