How to check if someone has replication rights for a path in CQ5 / AEM

You can use the following code

import javax.jcr.security.AccessControlManager;
import javax.jcr.security.Privilege;
import com.day.cq.replication.Replicator;
import javax.jcr.Session;

public static boolean canReplicate(String path, Session session) throws RepositoryException {
AccessControlManager acMgr = session.getAccessControlManager();
return session.getAccessControlManager().hasPrivileges(path, new Privilege[] {acMgr.privilegeFromName(Replicator.REPLICATE_PRIVILEGE)});
}

In fact, you can use this code to check any rights. Just replace privilege with any privilege in http://jackrabbit.apache.org/api/1.5/org/apache/jackrabbit/api/jsr283/security/Privilege.html

For example

privilegios[0] = acMgr.privilegeFromName(Privilege.JCR_READ);
privilegios[1] = acMgr.privilegeFromName(Privilege.JCR_ADD_CHILD_NODES);
privilegios[2] = acMgr.privilegeFromName(Privilege.JCR_REMOVE_CHILD_NODES);
.. More