TITLE: Proof of Borel-Weil-Bott Theorem
QUESTION [6 upvotes]: Is there any purely algebraic proof of Borel-Weil-Bott theorem. I mean only techniques from Algebraic group. In each and every proof I have seen so far they use Lie group techniques and then translate to Algebraic group version. I need a proper reference which is easily readable.
Thanks in advance.

REPLY [3 votes]: See J.C. Jantzen "Representations of Algebraic Groups" II.5 especially II.5.5. 
There you will find an algebraic proof of the result in char. 0 (probably more-or-less
Demazure's proof, mentioned in another answer). And you'll find a proof of some of
what remains true in positive char (due to Henning Anderson).