Representations of nilpotent Lie algebras

Let (L,[p]) a finite dimensional nilpotent restricted Lie algebra of characteristic p 3 3, c ? L^*p geq 3, chi in L^* a linear form. In this paper we study the representation theory of the reduced universal enveloping algebra u(L,c)u(L,chi ). It is shown that u(L,c)u(L,chi ) does not admit blocks of tame representation type. As an application, we prove that the nonregular AR-components of u(L,c)u(L,chi ) are of types Bbb Z [A_￥ ]Bbb Z [A_infty ] or Bbb Z [A_n]/(t)Bbb Z [A_n]/(tau ).