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 \(\Bbb Z [A_n]/(\tau )\).
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