Local and 2-Local Derivations of Locally Simple Lie Algebras

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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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