2-local derivations on Virasoro algebras
Shavkat AyupovBulletin of National University of Uzbekistan: Mathematics and Natural SciencesBakhtiyor Yusupov
ABI
Abstract
The present paper is devoted to study 2-local derivations on infinite-dimensional Lie algebras over a field of characteristic zero. We show that every derivation on Virasoro algebra is inner and prove that all 2-local derivations on this algebra is a derivation. We give an example of infinite-dimensional Lie algebra with a 2-local derivation which is not a derivation.