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May 16, 2012 at 18:30 vote accept Neil Strickland
May 16, 2012 at 17:28 history edited Neil Strickland CC BY-SA 3.0
small technical correction
May 16, 2012 at 16:25 comment added Neil Strickland @Alex: I have updated the question again.
May 16, 2012 at 16:23 history edited Neil Strickland CC BY-SA 3.0
Added a sharper question
May 16, 2012 at 16:04 answer added Jim Humphreys timeline score: 4
May 16, 2012 at 15:04 comment added Alex B. Could you clarify what you mean by "control the dimension"? The dimensions of the simple modules over $K$ are multiples of the dimensions of the simple modules over $\bar{K}$, but I am not even sure what "controlling the dimensions" over $\bar{K}$ would entail.
May 16, 2012 at 12:27 comment added Neil Strickland @Someone: thanks, that's a useful pointer.
May 16, 2012 at 11:32 comment added Someone Maybe Geoff's answer to mathoverflow.net/questions/91132/… could help you?
May 16, 2012 at 10:36 history edited Neil Strickland CC BY-SA 3.0
added 56 characters in body
May 16, 2012 at 10:20 answer added Alex B. timeline score: 8
May 16, 2012 at 10:09 history asked Neil Strickland CC BY-SA 3.0