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2-Local Derivations On Virasoro Algebras, Shavkat Ayupov, Bakhtiyor Yusupov
2-Local Derivations On Virasoro Algebras, Shavkat Ayupov, Bakhtiyor Yusupov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
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.