I am attempting to answer because I want to understand. Now what is it you are asking when you say
Now if i would use <env-entry-name>/Test</env-entry-name> would the name be absolute and the lookup be c.lookup("Test")? Can I also use c.lookup("/Test") in that case?
From what I understand from the specs is that these environment entries are stored in JNDI contexts and when we say lookup you need to give the entire path of the JNDI context. You can at the most save the subcontext and then directly say lookup as illustrated in the example given in spec excerpted here:
where maxExemptions would be declared as:
Spec page 411.
Though I have not tried it but I guess saying <env-entry-name>/Test</env-entry-name> would be wrong or not achieve anything because it would be looking for "java:comp/env/Test" and would not find it.