A generalization of Veldkamp's theorem for a class of Lie algebras

A classical theorem of Veldkamp describes the center an enveloping algebra a Lie semi-simple algebraic group in characteristic p . We generalize this result to class algebras with property that they arise as reduction modulo ≫ 0 from g , such has no nontrivial semi-invariants Sym ( ) and is polynomial algebra. As application, we solve derived isomorphism problem for above algebras.