Local and 2-local derivations on Leibniz algebras (Ph.D. dissertation)

In this PhD thesis we consider local and 2-local derivations on Leibniz algebras. We discuss local and 2-local derivations in the following classes of Leibniz algebras: null-filiform, filiform, $p$-filiform Leibniz algebras, on solvable Leibniz algebras with Abelian and model nilradicals. Also we consider 2-local derivations on some classes of infinite dimensional Lie algebras: on generalized Witt algebras and their Borel subalgebras, on Virasoro algebras, on thin Lie algebras.