Finite-dimensional representations of invariant differential operators (Q1858274)

Let \(G\) be a reductive complex algebraic group and \(V\) a finite-dimensional \(G\)-module. Denote by \(\mathcal{B}=\left( \mathcal{D}(V)\right) ^{G}\) the algebra of \(G\)-invariant algebraic differential operators on \(V\). For \(G=SL_{3}(\mathbb{R)}\) and its adjoint representation, the author studies finite-dimensional representations of \(\mathcal{B}\) and primitive ideals of \(\mathcal{B}\).