Local and 2-Local Derivations of Locally Simple Lie Algebras

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发表日期：

2024年1月31日

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Sh. Ayupov,
K. Kudaybergenov,
B. Yusupov

摘要

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.