So I just finished this quest with my new character and I did not receive the arch mage hood just the robes. So I started over from a save before and still no hood. Anybody else have this happen???

The robes come already hooded. You're fine. You just can't play with UNhooded robes.

There are two versions of the robes, a hooded one, and an unhooded one. I dont know what the determining factor is in which one you recieve.

Pretty sure the unhooded one exists in game as code only. I don't think you can obtain it without console commands.

Well, the way I read their question, I interpreted it to mean they got an unhooded version, since they are asking about a hood. I could be wrong. The wiki mentions it, though. I got the hooded version when I finished the quest.

You could be right, I just figured that the indicator always says "Archmage's Robes Received" or something to that effect. I've only heard about the Hooded version being given, so I thought he might just have read it and not put it on. Could be wrong though.

It just says "Archmages' Robes" in my game, but when I wear it it's a hooded robe. I'm pretty sure the hood is part of the uniform. You can't wear a helmet with it 'though, only circlets afaik.