Representations of nilpotent Lie algebras

Abstract.

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