Representations of nilpotent Lie algebras

Let (L,[p]) a finite dimensional nilpotent restricted Lie algebra of charac teristic p greater than or equal to 3, chi is an element of L* a linear for m. In this paper we study the representation theory of the reduced universa l enveloping algebra u(L,chi) it is shown that u(L,chi) does not admit bloc ks of tame representation type. As an application, we prove that the nonreg ular AR-components of u(L,chi) are of types Z[A(infinity)] or Z[A(n)]/(tau) .