Representation type of ${}_{\lambda }^{\infty }{\mathcal{H}}_{\mu }^1$

Abstract

For a semi-simple finite-dimensional complex Lie algebra $\mathfrak{g}$ we classify the representation type of the category ${}_{\lambda }^{\infty }{\mathcal{H}}_{\mu }^1$ of Harish-Chandra bimodules for $\mathfrak{g}$.

revised version