Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599045 | Linear Algebra and its Applications | 2015 | 11 Pages |
Abstract
We prove that every 2-local derivation on a finite-dimensional semi-simple Lie algebra LL over an algebraically closed field of characteristic zero is a derivation. We also show that a finite-dimensional nilpotent Lie algebra LL with dimL≥2dimL≥2 admits a 2-local derivation which is not a derivation.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shavkat Ayupov, Karimbergen Kudaybergenov, Isamiddin Rakhimov,