I am thinking about homomorphisms $\mathrm{Hom}(\Gamma,G)$, where $G$ is a Lie group and $\Gamma$ is a discrete, finitely generated subgroup.

<a href="http://mathoverflow.net/questions/34640/local-vs-infinitesimal-rigidity">This question</a> talked about the difference of infinitesimal rigidity vs. local rigidity and <a href="http://mathoverflow.net/questions/34640/local-vs-infinitesimal-rigidity/34685#34685">the second answer</a> shows that infinitesimal rigidity implies local rigidity. Are there examples (preferably in the context of discrete subgroups of Lie groups) such that $\mathrm{Hom}(\Gamma,G)$ is locally rigid, but not infinitesimally rigid?