Where are linked/appended materials accessible?

Hello, I am linking and appending materials when an object is selected but the materials do not appear to be appended to the list of available materials for said object. Perhaps this is because the names of the materials are the same?

Is there a place where I can pull globally imported materials from? Sort of a repository of all materials in the blend file?

FIXED: Global materials are available for assignment by clicking the material icon next to the name of the material.