The title is self explanatory. I don't seem to understand this sentence as a whole. Can somebody please explain this word by word for me? Also what form is "振ってくれ" in? "振る" in this context means "to wave at someone".
Edit: I've just found out that the "くれ" at the and of the verb is basically the same as "下さい", it's just more casual. Now I only have problem with "僕の分".
I know this question is a bit old, but since I came across this as a prominent Google hit when searching for help on the same thing, I figured I'd post a more complete answer for anybody else who comes along..
For context, the line in question appears to be from the "よつばと!" ("Yotsuba&!") manga, in the first volume, page 8 (3rd panel). Yotsuba and her father are driving in the car, and the full exchange is:
よつば: おねーちゃんが手ぇふった！とーちゃんもふれ！
とーちゃん: とーちゃん手がはなせないからな俺の分もよつばがふってくれ
The portion in question at the end breaks down to:
As you noted, くれ is related to 下さい; however, they are not really the same. ください is a special conjugation of くださる, which itself is the honorific form of くれる. くれ is a special idiomatic form of the (non-honorific) くれる, so the basic action (to do something for someone) is the same, but the politeness implications are very different. くれ is a (fairly masculine and informal) direct command, as opposed to a polite (honorific) request.
For more information on くれ and friends, you can read through Tae Kim's excellent page on making requests
As a side-note, I had originally read "とーちゃん手がはなせないからな" as "Daddy's hands can't speak right now" (which seemed a little poetic/idiomatic, but actually could make some sense when taking about waving to people, so I didn't think too much about it), but @Mauro pointed out that the verb "がはなせない" (はなす) there is probably not 話す (to say / to speak) but is actually 放す (to release / to let go) instead, which would make it more like "Daddy's hands can't let go (of the wheel) right now", which does make a bit more sense in context.
So in summary, the translation of the full exchange comes out to something like:
Yotsuba: The lady waved! Daddy, you wave too!
Father: Daddy's hands can't let go right now. You do my part of the waving too.
はなす to be read as 話す? I read it 放す, since the father is driving, so "Daddy's hands can't let go [of the wheel] right now".
Well... I think I just found the answer myself... I don't know why did I even post this, it became so clear now. The problem was that I thought "僕の分" is a physical part of one's body, rather than a part in performing some sort of action (God, it's so obvious now...). So, advice to others who are reading this: Read the sentence you have trouble with a couple of times and see if you can figure out the meaning. If you can't then, and only then post; don't be stupid like me.
To be sure, can someone confirm it?