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In this continuation of \cite{BM}, we prove the following: Let $\Gamma\subset\text{SL}(2,{\mathbb C})$ be a cocompact lattice, and let $\rho: \Gamma\rightarrow \text{GL}(r,{\mathbb C})$ be an irreducible representation. Thenthe holomorphic vector bundle $E_\rho \longrightarrow \text{SL}(2,{\mathbbC})/\Gamma$ associated to $\rho$ is polystable. The compact complex manifold$\text{SL}(2,{\mathbb C})/\Gamma$ has natural Hermitian structures; thepolystability of $E_\rho$ is with respect to these natural Hermitianstructures.

On the vector bundles associated to irreducible representations of cocompact lattices of SL(2,C)