Local and 2-local $\frac{1}{2}$-derivations of infinite-dimensional Lie algebras

Shavkat Ayupov, Abdireymov Arislanbay, Bakhtiyor Yusupov

In this work, we describe local and 2-local $\frac{1}{2}$-derivations of infinite-dimensional Lie algebras. We prove that all local and 2-local $\frac{1}{2}$-derivations of the Witt algebr…