When I did net-surfing at home, I met some geometric backgrounds of Lie algebras and encountered the concept of Lie algebroids. In differential geometry, a Lie algebroid seems to be defined as motivated via a vector bundle on manifolds. Is this important in "algebraic" geometry too (How about positive-characteristic)? Does anyone know some references about Lie algebroid in algebraic aspects?
(In the first place, how Lie algebra of vector fields on algebraic variety are nice?)