Local and 2-Local Derivations of Locally Simple Lie Algebras

Sh Ayupov; K. Kudaybergenov; B. Yusupov

doi:10.1007/s10958-024-06943-2

Local and 2-Local Derivations of Locally Simple Lie Algebras

Sh Ayupov^*
, K. Kudaybergenov
, B. Yusupov

^*Corresponding author for this work

Romanovskii Institute of Mathematics
National University of Uzbekistan named after Mirzo Ulugbek
Karakalpak State University

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

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.

Original language	English
Pages (from-to)	613-622
Number of pages	10
Journal	Journal of Mathematical Sciences (United States)
Volume	278
Issue number	4
DOIs	https://doi.org/10.1007/s10958-024-06943-2
State	Published - Jan 2024
Externally published	Yes

Keywords

2-local derivation
Borel subalgebra
local derivation
locally simple Lie algebra

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10.1007/s10958-024-06943-2

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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.",

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AB - 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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KW - Borel subalgebra

KW - local derivation

KW - locally simple Lie algebra

UR - https://www.scopus.com/pages/publications/85183679812

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Local and 2-Local Derivations of Locally Simple Lie Algebras

Abstract

Keywords

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