Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416181 | Linear Algebra and its Applications | 2016 | 18 Pages |
Abstract
We prove that every local derivation on a finite-dimensional semisimple Lie algebra over an algebraically closed field of characteristic zero is a derivation. We also give examples of finite-dimensional nilpotent Lie algebras L with dimâ¡Lâ¥3 which admit local derivations which are not derivations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shavkat Ayupov, Karimbergen Kudaybergenov,