On the construction of indecomposable modules over restricted enveloping algebras (Q1916147)

Let \({\mathfrak g}\) be a classical or restricted Cartan type simple Lie algebra over an algebraically closed field of characteristic \(p>0\). The authors provide a procedure for constructing indecomposable modules of the restricted enveloping algebra \(V({\mathfrak g})\) of \({\mathfrak g}\). For \({\mathfrak g}\neq\text{sl}(2)\) or \(W(1,1)\), it is shown that there are infinitely many nonisomorphic indecomposable \(V({\mathfrak g})\)-modules of dimension \(d\) when \(d\) is a multiple of a certain power of \(p\).