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Recently I have found a need to learn more about p-adic group representations over a p-adic vector space. Generally, this motivates a study of representations $\left( V, \rho \right)$ for some group $G$ where $V$ is a vector space over $\mathbb{Q}_p$. Since I'm only familiar with the theory for representations acting on a complex vector space, I was hoping for references where I could find more information?

This may seem like a question suited more for google, however, I don't seem to have enough knowledge to prompt google in the correct direction.

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    Dear jdmorgan, Could you be more precise about the kind of representations you want to consider? Do you mean continuous representations of a topological group (say) on a $p$-adic vector space, or just abstract representations of a discrete group? In the latter case, the only difference between the case of $\mathbb Q_p$ and $\mathbb C$ is that the former is not algebraically closed. In the former case, there is a lot more to say, but I will hold off saying anything until I know better what you actually want. Regards,2011-01-06
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    I'm interested in the case when $G$ is a topological group and $\rho$ is continuous.2011-01-06

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