Representations of nilpotent Lie algebras (Q1289283)

The author studies the representation theory of the reduced enveloping algebra \(u(L,\chi)\), where \(L\) is a finite dimensional nilpotent restricted Lie algebra of characteristic \(p\geq 3\), \(\chi\in L^*\) a linear form. First, it is shown that \(u(L,\chi)\) does not admit blocks of tame representation type. Second, it is proved that for a block of infinite representation type the nonregular component of the stable Auslander-Reiten quiver is isomorphic to \(Z[A_\infty]\).